volume_mute
Simplify
publish date:Â 2024/01/11 05:14:00 UTC
$\left(5^3\right)^4$
Correct Answer
$5^{12}$
Explanation
\(\left(5^3\right)^4 = 5^3 \cdot 5^3 \cdot 5^3 \cdot 5^3 \)
\(= 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 5^{12}\)
We can quickly find this result if we keep the common base of 5 and multiply the exponents
\(\left(5^3\right)^4 = 5^{3 \cdot 4} = 5^{12}\)
Reference
Mathematics for college students