How do you simplify $\frac{1}{4^{- 2}}$ $1/4^-2$ ?

Question

17995 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-09T05:22:05

Express the denominator as a fraction such as $\frac{1}{(\frac{1}{4^{2}})}$ $(1)/((1/4^(2)))$

Knowing that $4^{2} = 16$ $4^2 = 16$ , multiply the denominator and numerator by the reciprocal:

$(1)/((1/4^(2))) = ((1) * (16/1))/cancel(((1/16) * (16/1))) = 16$

The "trick" here is to express $4^(-2)$ as a fraction of integers.

How do you simplify 1/4^-2 14−21/4^-2 ?