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Popular >

simplify 32^{-4/5}

Solution

simplify

3 2^{- \frac{4}{5}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

3 2^{- \frac{4}{5}}

Factor the number:

32 = 2^{5}

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

Apply exponent rule:

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

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

5 (- \frac{4}{5}) = - 4

= 2^{- 4}

Apply exponent rule:

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

2^{- 4} = \frac{1}{2 ^{4}}

= \frac{1}{2 ^{4}}

2^{4} = 16

= \frac{1}{16}

Popular Examples

64-6[15+2(-3+8)]

64 - 6 [15 + 2 (- 3 + 8)]

simplify (-4)^5 simplify

(- 4)^{5}

5(w+2.2)-4w=9.3

5 (w + 2.2) - 4 w = 9.3

simplify-4xy^2(15x^3y^2)simplify

- 4 x y^{2} (15 x^{3} y^{2})

simplify ((x/y))/z simplify

\frac{( \frac{x}{y} )}{z}

Frequently Asked Questions (FAQ)

What is 32^{-4/5} ?
The solution to 32^{-4/5} is 1/16