What is simplify-3sqrt(100ab^6) ?

The solution to simplify-3sqrt(100ab^6) is -30b^3sqrt(a)

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simplify-3sqrt(100ab^6)

simplify

- 3 100 a b^{6}

- 30 b^{3} a

Solution steps

- 3 100 a b^{6}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

100 a b^{6} = 100 a b^{6}

= - 3100 a b^{6}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

a b^{6} = a b^{6}

= - 3100 a b^{6}

100 = 10

= - 3 \cdot 10 a b^{6}

Simplify

b^{6} : b^{3}

= - 3 \cdot 10 a b^{3}

Multiply the numbers:

- 3 \cdot 10 = - 30

= - 30 a b^{3}

= - 30 b^{3} a

25 6^{\frac{1}{8}}

\frac{x}{x - 1}

\frac{( 1 + x ^{- 1} )}{( 1 - x ^{- 2} )}

\frac{6}{7} - \frac{3}{7}

What is simplify-3sqrt(100ab^6) ?
The solution to simplify-3sqrt(100ab^6) is -30b^3sqrt(a)