volume_mute
Simplify
publish date: 2024/01/14 04:48:56.075618 UTC
$\left(z^2\right)^4\left(z^3\right)^3$
Correct Answer
$z^{17}$
Explanation
For each power of z raised to a power, keep the base and multiply the exponents: 2 • 4 = 8 and 3 • 3 = 9. Keep the common base, z, and add the exponents: 8 + 9 = 17
$\left(z^2\right)^4\left(z^3\right)^3 = z^8 z^9 = z^{17}$
Reference
Mathematics for college students