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Popular >

simplify 625^{-3/4}

Solution

simplify

62 5^{- \frac{3}{4}}

Solution

\frac{1}{125}

+1

Solution steps

62 5^{- \frac{3}{4}}

Factor the number:

625 = 5^{4}

= (5^{4})^{- \frac{3}{4}}

Apply exponent rule:

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

= 5^{4 (- \frac{3}{4})}

4 (- \frac{3}{4}) = - 3

= 5^{- 3}

Apply exponent rule:

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

5^{- 3} = \frac{1}{5 ^{3}}

= \frac{1}{5 ^{3}}

5^{3} = 125

= \frac{1}{125}

Popular Examples

12 - 51 r = 2 r + 1

factor 21z^2+10z-16 factor

21 z^{2} + 10 z - 16

(x^2+4x+10)/(x^2-x-12)>0

\frac{x ^{2} + 4 x + 10}{x ^{2} - x - 12} > 0

simplify (-2)/4 simplify

\frac{- 2}{4}

4(x-4)+19=3(x+3)

4 (x - 4) + 19 = 3 (x + 3)

Frequently Asked Questions (FAQ)

What is 625^{-3/4} ?
The solution to 625^{-3/4} is 1/125