Question

Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.

Answer 1

Answer:

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

Step-by-step explanation:

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Answer 2

Answer: $\frac{25}{6} a^{9} b^{10}$

Step-by-step explanation:

Assuming the described expression is:

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

And knowing the condition $a \neq 0$ and $b \neq 0$

We cansimplify it following the rules related to the exponents with the same base:

$\frac{25}{6} a^{3} b^{3} a^{6} b^{7}$

Finally:

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