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Popular >

simplify 175(5+3.5^2)^{-1/3}

Solution

simplify

175 (5 + 3. 5^{2})^{- \frac{1}{3}}

Solution

175 (\frac{4}{69})^{\frac{1}{3}}

+1

Decimal Notation

67.72905 \dots

Solution steps

175 (5 + 3. 5^{2})^{- \frac{1}{3}}

Apply exponent rule:

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

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

= 175 \cdot \frac{1}{( 5 + 3. 5 ^{2} ) ^{\frac{1}{3}}}

(5 + 3. 5^{2})^{\frac{1}{3}} = (\frac{69}{4})^{\frac{1}{3}}

= 175 \cdot \frac{1}{( \frac{69}{4} ) ^{\frac{1}{3}}}

\frac{1}{( \frac{69}{4} ) ^{\frac{1}{3}}} = (\frac{4}{69})^{\frac{1}{3}}

= 175 (\frac{4}{69})^{\frac{1}{3}}

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Frequently Asked Questions (FAQ)

What is 175(5+3.5^2)^{-1/3} ?
The solution to 175(5+3.5^2)^{-1/3} is 175(4/69)^{1/3}