Question

evaluate the expression (-3^4/2^-3)^0

Answer 1

Answer:

(-3^4/2^-3)^0 = 1

Explanation:

The initial expression is:

$(\frac{-3^4}{2^{-3}})^0$

To rewrite the expression, we will use the following properties:

$\begin{gathered} \frac{1}{a^{-x}}=a^x \\ b^0=1 \end{gathered}$

So, we can solve the expression as:

$(\frac{-3^4}{2^{-3}})^0=(-3^4\cdot2^3_{})^0=(-648)^0=1$

Because any number to the power of 0 is equal to 1.

Therefore, the expression is equal to 1.