Question

Find the product (-5a^2)^3•a^5

Answer 1

Answer:

− 125a11

is the answer

Answer 2

The product of (-5a^2)^3•a^5 is $(-125) \times a^{11}$

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) $a^{m} \times a^{n}=a^{m+n}$

2) $\frac{a^{m}}{a^{n}}=a^{m-n}$

Now solve the given expression,

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

Hence the product is $(-125) \times a^{11}$