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Popular >

simplify (2^{-4})/(2^{-2)}

Solution

simplify

\frac{2 ^{- 4}}{2 ^{- 2}}

Solution

\frac{1}{4}

+1

Solution steps

\frac{2 ^{- 4}}{2 ^{- 2}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 2^{- 4 - (- 2)}

Apply rule

- (- a) = a

= 2^{- 4 + 2}

Add/Subtract the numbers:

- 4 + 2 = - 2

= 2^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{2 ^{2}}

2^{2} = 4

= \frac{1}{4}

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\frac{3}{4} > x + 1 > \frac{1}{4}

Frequently Asked Questions (FAQ)

What is (2^{-4})/(2^{-2)} ?
The solution to (2^{-4})/(2^{-2)} is 1/4