What is ((5ab)^3)/(30a^{-6)b^{-7}} ?

The solution to ((5ab)^3)/(30a^{-6)b^{-7}} is (25a^9b^{10})/6

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simplify ((5ab)^3)/(30a^{-6)b^{-7}}

simplify

\frac{( 5 ab ) ^{3}}{30 a ^{- 6} b ^{- 7}}

\frac{25 a ^{9} b ^{10}}{6}

Solution steps

\frac{( 5 ab ) ^{3}}{30 a ^{- 6} b ^{- 7}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 ab)^{3} = 5^{3} a^{3} b^{3}

= \frac{5 ^{3} a ^{3} b ^{3}}{30 a ^{- 6} b ^{- 7}}

Factor the number:

30 = 5 \cdot 6

= \frac{5 ^{3} a ^{3} b ^{3}}{5 \cdot 6 a ^{- 6} b ^{- 7}}

\frac{5 ^{3}}{5} = 5^{2}

= \frac{5 ^{2} a ^{3} b ^{3}}{6 a ^{- 6} b ^{- 7}}

Simplify

\frac{a ^{3}}{a ^{- 6}} : a^{9}

= \frac{5 ^{2} a ^{9} b ^{3}}{6 b ^{- 7}}

Simplify

\frac{b ^{3}}{b ^{- 7}} : b^{10}

= \frac{5 ^{2} a ^{9} b ^{10}}{6}

5^{2} = 25

= \frac{25 a ^{9} b ^{10}}{6}

(\frac{2 a}{t ^{2}})^{- 2}

9 n + 13 = 3 n + 62.2

\frac{2}{3} x^{2} - \frac{1}{2} x - \frac{3}{4} = 0

(\frac{5}{13})^{2}

\frac{( 5 + 6 i )}{( 6 - 5 i )}

What is ((5ab)^3)/(30a^{-6)b^{-7}} ?
The solution to ((5ab)^3)/(30a^{-6)b^{-7}} is (25a^9b^{10})/6