Question

Find the product (-5a^2)^3•a^5

Answer 1

The product of (-5a^2)^3•a^5 is
`(-125) * a^(11)`

Solution:

Given that we need to find the product of (-5a^2)^3•a^5

Some of the laws of exponents used to solve this sum are:

1)
`a^(m) * a^(n)=a^(m+n)`

2)
`(a^(m))/(a^(n))=a^(m-n)`

Now solve the given expression,

`\begin{array}{l}{\left(-5 a^(2)\right)^(3) * a^(5)=(-5)^(3)\left(a^(2)\right)^(3) * a^(5)} \\\\ {=(-5 *-5 *-5) *\left(a^(6)\right) *\left(a^(5)\right)} \\\\ {=(-125) *\left(a^(6+5)\right)} \\\\ {=(-125) * a^(11)}\end{array}`

Hence the product is
`(-125) * a^(11)`

Answer 2

− 125a11

is the answer