Question

identify 5 at 6 . 5 at 7

Answer 1

We are asked to identify the property that is applied to multiply to expressions of the same base nd different exponents:

$5^6\cdot5^7$

Here we need to apply the power property of products, which tells us:

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

So the answer is : we apply the power property of products.And end up with the expression 5 to the power 13.

For the case:

$(11\cdot7)^4$

we need to apply the property for power of a product . This property tells us how to distribute the power into a product of different bases:

$(a\cdot b)^n=a^n\cdot b^n$