Question

Choose the correct simplification of the expression a to the 7th power times b to the 8th power all over a to the 4th power times b to the 4th power

Answer 1

First you need to write the numerical equation for the given:

$\frac{ a^{7} b^{8} }{ a^{4} b^{4} }$

When you will simplify this fraction, you can divide the expressions. Based on the law of exponents when you divide like terms with different exponents, you can subtract the exponents of the denominator from the numerator. 

So if you will simplify the equation:

$\frac{ a^{7} b^{8} }{ a^{4} b^{4} }$

Subtract the following:

Exponents of a 7-4 and;
Exponents of b 8-4

Your answer should be 
$a^{3} b^{4}$