Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.
-64 ^{1 / 3}

Question

Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers. -64 ^{1 / 3} A) 12 B) 768 C) 256 D) 4

Quizplus · Accepted Answer

To simplify this expression, we need to find the cube root of 64, because an exponent of $ \frac{1}{3} $ is equivalent to taking the cube root.
The cube root of a number is a value that, when multiplied by itself three times, gives the original number. In this case, we are looking for a number that, when cubed, equals 64.
$ 4 \times 4 \times 4 = 4^3 = 64 $
Therefore, $ 64^{1/3} = 4 $.
The correct answer is D) 4.

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