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Popular >

Evaluate 4^(-5/2)

Solution

simplify

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

Solution

\frac{1}{32}

+1

Decimal Notation

0.03125

Solution steps

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

Factor the number:

4 = 2^{2}

= (2^{2})^{\frac{- 5}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{2 \cdot \frac{- 5}{2}}

2 \cdot \frac{- 5}{2} = - 5

= 2^{- 5}

Apply exponent rule:

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

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

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

2^{5} = 32

= \frac{1}{32}

Popular Examples

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x, - 3 x + 6 = x - 10

Solve for x |2x-1|=8 solve for

x, ∣ 2 x - 1 ∣ = 8

Solve for v (5v-4)/10=4/5 solve for

v, \frac{( 5 v - 4 )}{10} = \frac{4}{5}

Convert to a Simplified Fraction 52%simplify

52%

Frequently Asked Questions (FAQ)

What is simplify 4^{(-5)/2} ?
The solution to simplify 4^{(-5)/2} is 1/32