84.2k views
2 votes
Find the product (-5a^2)^3•a^5

User Tzane
by
6.3k points

2 Answers

7 votes

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)

User Bosgood
by
6.8k points
4 votes

Answer:

− 125a11

is the answer

User MojoFilter
by
6.5k points