Question

Which expression is equivalent to (m−3n−5)−3? m−9n−15 m−6n−8 1 over the quantity m raised to the sixth power times n raised to the eighth power end quantity m9n15

Answer 1

`\sf m^9n^(15)`

Explanation:

To simplify
`\sf(m^(-3)n^(-5))^(-3)`, we can use the following rule of exponents:

`\boxed{\boxed{\sf (x^m)^n = x^(m\cdot n)}}`

Therefore,

`\sf (m^(-3)n^(-5))^(-3) = m^((-3)\cdot -3)n^((-5)\cdot -3 )\\\\ = m^9n^(15)`

Therefore, the expression that is equivalent is:

`\sf m^9n^(15)`