Evaluate exponential expressions that have negative bases

We evaluate exponential expressions with bases that are negative numbers.

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Views #: 277

Questions #: 20

Time: 10 minutes

Pass Score: 80.0%

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Step

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Exam

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Evaluate Exponential Expression with Negative Base – Even Exponent

1 pts

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Evaluate: \((-2)^4\)

-8

-16

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Correct Answer

Explanation

Evaluate Exponential Expression with Negative Base – Odd Exponent

1 pts

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Evaluate: \((-5)^3\)

125

-125

-15

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Correct Answer

Explanation

Evaluate Negative One Raised to an Odd Power

1 pts

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Evaluate: \((-1)^5\)

-5

-1

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Correct Answer

Explanation

Self Check – Negative Base to the Fourth Power

1 pts

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Evaluate: \((-3)^4\)

-81

-12

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Correct Answer

Explanation

Self Check – Negative Base to the Third Power

1 pts

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Evaluate: \((-4)^3\)

-64

-12

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Correct Answer

Explanation

Self Check – Negative One to the Seventh Power

1 pts

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Evaluate: \((-1)^7\)

-7

-1

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Correct Answer

Explanation

Evaluate: Opposite of a Square vs. Negative Base Squared

1 pts

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Evaluate: \(-2^2\)

-4

-2

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Correct Answer

Explanation

Self Check – Opposite of a Square

1 pts

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Evaluate: \(-4^2\)

-8

-16

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Correct Answer

Explanation

Which Expressions Are Equal to 9?

2 pts

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Select all expressions that evaluate to \(9\).

\((-3)^2\)

\(-3^2\)

\(3^2\)

\((-9)^1\)

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Correct Answer

Explanation

Identifying the Base of an Exponential Expression

1 pts

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What is the base in the expression \(-7^3\)?

-7

-3

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Correct Answer

Explanation

Rule: Even Power of a Negative Integer

1 pts

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When a negative integer is raised to an even power, the result is (1).

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Correct Answer

Explanation

Rule: Odd Power of a Negative Integer

1 pts

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When a negative integer is raised to an odd power, the result is (1).

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Correct Answer

Explanation

Predict the Sign of a Negative Base Expression

1 pts

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Without calculating, determine the sign of \((-6)^9\).

Positive, because 9 is odd

Negative, because 9 is odd

Positive, because the base is negative

Negative, because the base is negative

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Correct Answer

Explanation

Predict the Sign – Even Exponent

1 pts

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Without calculating, determine the sign of \((-11)^6\).

Positive

Negative

Zero

Cannot be determined

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Explanation

Classify the Results as Positive or Negative

2 pts

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Expressions

×\((-3)^5\)

×\((-8)^4\)

×\((-2)^7\)

×\((-10)^2\)

Positive

Negative

Classify each exponential expression by its sign (without evaluating).

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Correct Answer

Explanation

Match the Expression to Its Value

2 pts

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Match each exponential expression to its correct evaluated value.

\((-1)^4\) = (1)

\((-2)^3\) = (2)

\(-3^2\) = (3)

\((-3)^2\) = (4)

Please drag and drop the selected option in the right place or type it instead

-8

-9

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Correct Answer

Explanation

Comparing (-5)^2 and -5^2

1 pts

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Which statement correctly describes the difference between \((-5)^2\) and \(-5^2\)?

Both equal 25

\((-5)^2 = 25\) and \(-5^2 = -25\)

\((-5)^2 = -25\) and \(-5^2 = 25\)

Both equal -25

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Correct Answer

Explanation

Complete the Steps to Evaluate \((-3)^4\)

1 pts

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Fill in the missing value to complete the evaluation:

\((-3)^4 = (-3)(-3)(-3)(-3) = 9 \times\) (1) \(= 81\)

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Correct Answer

Explanation

Sort the Values from Least to Greatest

2 pts

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Please drag and drop the options to sort them

Drag the expressions to arrange their evaluated values from least to greatest.

\((-1)^6\)

\((-2)^3\)

\((-2)^4\)

\((-3)^2\)

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Correct Answer

Explanation

Enter the Formula Equivalent of \((-4)^3\)

1 pts

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Express \((-4)^3\) as a repeated multiplication and then give its value as a formula.

Write your answer as the evaluated result (a single integer).

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Correct Answer

Explanation

Year 8

Evaluate Exponential Expression with Negative Base – Even Exponent

Correct Answer

Explanation

Evaluate Exponential Expression with Negative Base – Odd Exponent

Correct Answer

Explanation

Evaluate Negative One Raised to an Odd Power

Correct Answer

Explanation

Self Check – Negative Base to the Fourth Power

Correct Answer

Explanation

Self Check – Negative Base to the Third Power

Correct Answer

Explanation

Self Check – Negative One to the Seventh Power

Correct Answer

Explanation

Evaluate: Opposite of a Square vs. Negative Base Squared

Correct Answer

Explanation

Self Check – Opposite of a Square

Correct Answer

Explanation

Which Expressions Are Equal to 9?

Correct Answer

Explanation

Identifying the Base of an Exponential Expression

Correct Answer

Explanation

Rule: Even Power of a Negative Integer

Correct Answer

Explanation

Rule: Odd Power of a Negative Integer

Correct Answer

Explanation

Predict the Sign of a Negative Base Expression

Correct Answer

Explanation

Predict the Sign – Even Exponent

Correct Answer

Explanation

Classify the Results as Positive or Negative

Correct Answer

Explanation

Match the Expression to Its Value

Correct Answer

Explanation

Comparing (-5)^2 and -5^2

Correct Answer

Explanation

Complete the Steps to Evaluate \((-3)^4\)

Correct Answer

Explanation

Sort the Values from Least to Greatest

Correct Answer

Explanation

Enter the Formula Equivalent of \((-4)^3\)

Correct Answer

Explanation

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