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Popular >

simplify (4^{-5})/(4^{-2)}

Solution

simplify

\frac{4 ^{- 5}}{4 ^{- 2}}

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

\frac{4 ^{- 5}}{4 ^{- 2}}

Apply exponent rule:

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

= 4^{- 5 - (- 2)}

Apply rule

- (- a) = a

= 4^{- 5 + 2}

Add/Subtract the numbers:

- 5 + 2 = - 3

= 4^{- 3}

Apply exponent rule:

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

= \frac{1}{4 ^{3}}

4^{3} = 64

= \frac{1}{64}

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simplify (9/15)^4 simplify

(\frac{9}{15})^{4}

35 \geq A \geq 25

2x(x-2)=7x^2-6x

2 x (x - 2) = 7 x^{2} - 6 x

Frequently Asked Questions (FAQ)

What is (4^{-5})/(4^{-2)} ?
The solution to (4^{-5})/(4^{-2)} is 1/64