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

Explanation:

100% on ed

Answer 2

Answer:
`(25)/(6) a^(9) b^(10)`

Explanation:

Assuming the described expression is:

`((5ab)^(3))/(30 a^(-6) b^(-7))`

And knowing the condition
`a \\eq 0` and
`b \\eq 0`

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

`(25)/(6) a^(3) b^(3) a^(6) b^(7)`

Finally:

`(25)/(6) a^(9) b^(10)`