Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.
-$$64 ^ { - 4 / 3 }$$
A) 256
B) not a real number
C) $\frac { 1 } { 256 }$
D) $- \frac { 1 } { 256 }$

Question

Quizplus · Accepted Answer

$$64^{-4/3}$$ can be simplified by first recognizing that 64 is $4^3$. Thus, the expression becomes $(4^3)^{-4/3}$. The powers multiply, giving $4^{-4}$, which simplifies to $\frac{1}{4^4} = \frac{1}{256}$.

Simplify the Exponential Expression 64−4/364 ^ { - 4 / 3 }64−4/3

Simplify the Exponential Expression $64 ^ { - 4 / 3 }$