Question

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

Answer 1

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

Step-by-step explanation:

The initial expression is:

`((-3^4)/(2^(-3)))^0`

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

`\begin{gathered} (1)/(a^(-x))=a^x \\ b^0=1 \end{gathered}`

So, we can solve the expression as:

`((-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.