Q4. - Algebra 1

Question

Simplify each expression. Assume that no denominator equals 0.

$\frac{x^6{y}^8}{x^2}$

Step-by-Step Solution

Answer

The expression $\frac{x^6{y}^8}{x^2}$ can be simplified to $x^4{y}^8$.

Step 1. Group powers with same base.

Group powers with same base in given expression.

$\left(\frac{x^6}{x^2}\right)y^8$

Step 2. Write quotient of powers rule.

For any nonzero number x and any integers m and n, $\frac{x^m}{x^n}=x^{m-n}$.

Step 3. Apply quotient of powers rule to given expression.

Apply quotient of powers rule to step 1.

$x^{6-2}{y}^8$

Step 4. Simplify the expression.

Simplify the expression obtained in step 3.

$x^4{y}^8$ 

Therefore, $\frac{x^6{y}^8}{x^2}$ can be simplified to $x^4{y}^8$.