What is 10^{1/3}*0.37^{-1/3} ?

The solution to 10^{1/3}*0.37^{-1/3} is 10^{1/3}(100/37)^{1/3}

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simplify 10^{1/3}*0.37^{-1/3}

simplify

1 0^{\frac{1}{3}} \cdot 0.3 7^{- \frac{1}{3}}

1 0^{\frac{1}{3}} (\frac{100}{37})^{\frac{1}{3}}

Decimal

3.00100 \dots

Solution steps

1 0^{\frac{1}{3}} \cdot 0.3 7^{- \frac{1}{3}}

Apply exponent rule:

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

0.3 7^{- \frac{1}{3}} = \frac{1}{0.3 7 ^{\frac{1}{3}}}

= 1 0^{\frac{1}{3}} \cdot \frac{1}{0.3 7 ^{\frac{1}{3}}}

0.37 = \frac{37}{100}

= 1 0^{\frac{1}{3}} \cdot \frac{1}{( \frac{37}{100} ) ^{\frac{1}{3}}}

\frac{1}{( \frac{37}{100} ) ^{\frac{1}{3}}} = (\frac{100}{37})^{\frac{1}{3}}

= 1 0^{\frac{1}{3}} (\frac{100}{37})^{\frac{1}{3}}

5 x^{2} \cdot y^{3} \cdot 3 x \cdot y^{2}

8 \cdot 2^{- 1.6}

0.1 \cdot 0.21

(D + 1)^{2} (D)^{2}

(19.701 \cdot 1 0^{- 3}) (250)

What is 10^{1/3}*0.37^{-1/3} ?
The solution to 10^{1/3}*0.37^{-1/3} is 10^{1/3}(100/37)^{1/3}