Use the laws of exponents to simplify. Write the answer with positive exponents.
-$\left(16^{4 / 3}\right)^{3 / 8}$
A) 64
B) 256
C) 16
D) 4

Name: Use the laws of exponents to simplify. Write the answer with positive exponents. -$\left(16^{4 / 3}\right)^{3 / 8}$ A) 64 B) 256 C) 16 D) 4
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Question

Quizplus · Accepted Answer

Using the power of a power property of exponents, $(a^m)^n = a^{m \cdot n}$, we have $(16^{4/3})^{3/8} = 16^{(4/3) \cdot (3/8)} = 16^{1/2}$. Since $16^{1/2}$ is the square root of 16, the answer is 4.

Use the Laws of Exponents to Simplify (164/3)3/8\left(16^{4 / 3}\right)^{3 / 8}(164/3)3/8

Use the Laws of Exponents to Simplify $\left(16^{4 / 3}\right)^{3 / 8}$