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Popular >

simplify (25^{-3/2})^{1/3}

Solution

simplify

(2 5^{- \frac{3}{2}})^{\frac{1}{3}}

Solution

\frac{1}{5}

+1

Decimal Notation

0.2

Solution steps

(2 5^{- \frac{3}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

= 2 5^{- \frac{3}{2} \cdot \frac{1}{3}}

Cross-cancel:

3

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

Factor the number:

25 = 5^{2}

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

Apply exponent rule:

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

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

2 (- \frac{1}{2}) = - 1

= 5^{- 1}

Apply exponent rule:

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

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

= \frac{1}{5}

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\frac{x ^{2} - 1}{x + 1} < 2

factor 144-x^2y^2 factor

144 - x^{2} y^{2}

3 y^{2} - 6 y = 0

Frequently Asked Questions (FAQ)

What is (25^{-3/2})^{1/3} ?
The solution to (25^{-3/2})^{1/3} is 1/5