Simplify the Algebraic Expression

Hi Illianna, let's simplify this algebraic expression together by following the laws of exponents.

We have the expression: thirty-six x to the eighth y to the fifth, divided by twenty-four x cubed y to the seventh.

To make it easier, we can break this fraction into three parts: the numerical coefficients, the x variables, and the y variables.

First, let's simplify thirty-six over twenty-four. Both numbers are divisible by twelve. Thirty-six divided by twelve is three, and twenty-four divided by twelve is two.

Next, we apply the quotient rule for exponents, which states that when dividing like bases, we subtract the exponent in the denominator from the exponent in the numerator.