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Popular >

simplify 125^{-1/3}

Solution

simplify

12 5^{- \frac{1}{3}}

Solution

\frac{1}{5}

+1

Solution steps

12 5^{- \frac{1}{3}}

Factor the number:

125 = 5^{3}

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

Apply exponent rule:

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

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

3 (- \frac{1}{3}) = - 1

= 5^{- 1}

Apply exponent rule:

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

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

= \frac{1}{5}

Popular Examples

7(1-x)>= 3(2+3x)

7 (1 - x) \geq 3 (2 + 3 x)

simplify 2-5/2 simplify

2 - \frac{5}{2}

simplify (1+(0.07)/(12))^{12}-1 simplify

(1 + \frac{0.07}{12})^{12} - 1

1/(x-3)+1/(x-9)>= 0

\frac{1}{x - 3} + \frac{1}{x - 9} \geq 0

simplify (11/6)^2 simplify

(\frac{11}{6})^{2}

Frequently Asked Questions (FAQ)

What is 125^{-1/3} ?
The solution to 125^{-1/3} is 1/5