Question

Rewrite the following without an exponent. 1/4^-4

Answer 1

Answer:

$\frac{1}{4^{-4}} = 256$

Step-by-step explanation:

Given

$\frac{1}{4^{-4}}$

Required

Write without the exponent

$\frac{1}{4^{-4}}$

Apply the following law of indices

$\frac{1}{a^m} = a^{-m}$

So, we have:

$\frac{1}{4^{-4}} = 4^{-(-4)}$

Evaluate the bracket

$\frac{1}{4^{-4}} = 4^4$

$\frac{1}{4^{-4}} = 256$