What is \sqrt[3]{((10x^3)^2)/((10x^6)^{-1)}} ?

The solution to \sqrt[3]{((10x^3)^2)/((10x^6)^{-1)}} is 10x^4

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simplify \sqrt[3]{((10x^3)^2)/((10x^6)^{-1)}}

simplify

3 \frac{( 10 x ^{3} ) ^{2}}{( 10 x ^{6} ) ^{- 1}}

10 x^{4}

Solution steps

3 \frac{( 10 x ^{3} ) ^{2}}{( 10 x ^{6} ) ^{- 1}}

Cancel

\frac{( 10 x ^{3} ) ^{2}}{( 10 x ^{6} ) ^{- 1}} : 1000 x^{12}

= 3 1000 x^{12}

Apply radical rule:

n ab = n a n b,

assuming

a \geq 0, b \geq 0

3 1000 x^{12} = 31000 3 x^{12}

= 31000 3 x^{12}

31000 = 10

= 10 3 x^{12}

Simplify

3 x^{12} : x^{4}

= 10 x^{4}

4 lo g_{8} (8)

x^{- 9}

\frac{- ( \frac{- 7}{- 3} )}{( \frac{- 5}{6} )}

\frac{ln ^{2} ( 1 )}{2}

6 x^{3} - 9 x^{2} + 4 x - 6

What is \sqrt[3]{((10x^3)^2)/((10x^6)^{-1)}} ?
The solution to \sqrt[3]{((10x^3)^2)/((10x^6)^{-1)}} is 10x^4