Question

Find the product. (-5a2)3 · a5

Answer 1

Answer:

$-125a^{11}$

Step-by-step explanation:

The expression that we have in this problem is

$(-5a^2)^3\cdot a^5$

First of all, we proceed by evaluating the power of the term in the brackets. We apply the rule:

$(a^m)^n=a^{m\cdot n}$

So

$(a^2)^3=a^6$

Moreover, we have

$(-5)^3=-125$

Therefore,

$(-5a^2)^3=-125 a^6$

So now the expression is

$-125a^6 \cdot a^5$

Now we apply the following rule:

$a^m \cdot a^n = a^{m+n}$

So we have

$a^6\cdot a^5 = a^{6+5}=a^{11}$

Therefore, our expression becomes:

$-125a^6\cdot a^5=-125a^{11}$