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Popular >

simplify 256^{-5/4}

Solution

simplify

25 6^{- \frac{5}{4}}

Solution

\frac{1}{1024}

+1

Solution steps

25 6^{- \frac{5}{4}}

Factor the number:

256 = 4^{4}

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

Apply exponent rule:

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

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

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

= 4^{- 5}

Apply exponent rule:

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

4^{- 5} = \frac{1}{4 ^{5}}

= \frac{1}{4 ^{5}}

4^{5} = 1024

= \frac{1}{1024}

Popular Examples

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\frac{3 x}{5 ( x + y )} - \frac{2 y}{3 ( x + y )}

factor 49x^2+28x+4 factor

49 x^{2} + 28 x + 4

\frac{1}{3} c + 5 = - 4

factor x^2y+xy^2+2xyz+xy^2+y^3+2y^2z factor

x^{2} y + x y^{2} + 2 x yz + x y^{2} + y^{3} + 2 y^{2} z

\frac{x}{5} = 7

Frequently Asked Questions (FAQ)

What is 256^{-5/4} ?
The solution to 256^{-5/4} is 1/1024