# Topic

Multiplication and division of powers with identical bases.

Extend base of the power to numbers and variables.

# Multiplication and division of powers with identical bases.

When we multiply powers with the same base, we add the exponents.

When we divide powers with the same base, we subtract the exponents.

This is also known as simplifying algebraic fractions. With the restriction that at the moment we give such exercises only where no variable remains in the denominator after simplification.