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Popular >

simplify (2^{-2})/(2^3)

Solution

simplify

\frac{2 ^{- 2}}{2 ^{3}}

Solution

\frac{1}{32}

+1

Solution steps

\frac{2 ^{- 2}}{2 ^{3}}

Apply exponent rule:

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

= 2^{- 2 - 3}

Subtract the numbers:

- 2 - 3 = - 5

= 2^{- 5}

Apply exponent rule:

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

= \frac{1}{2 ^{5}}

2^{5} = 32

= \frac{1}{32}

Popular Examples

\frac{100}{60}

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(\frac{8}{5} a + \frac{1}{3} b)^{2}

simplify (-8-24i)/(-8+8i)simplify

\frac{- 8 - 24 i}{- 8 + 8 i}

Frequently Asked Questions (FAQ)

What is (2^{-2})/(2^3) ?
The solution to (2^{-2})/(2^3) is 1/32