Exponent Rules: Simplifying Expressions with Exponents

To simplify expressions with variables

To solve complex algebraic equations

To prepare for multiplying polynomials

To understand the history of algebra

You divide the exponents

You subtract the exponents

You add the exponents

You multiply the bases

Multiply the exponent with each base

Apply the exponent to each term separately

Add the exponent to each base

Divide the exponent by the number of terms

You multiply the exponents

You add the exponents

You subtract the exponents

You divide the exponents

Divide the exponents

Subtract the exponent of the denominator from the numerator

Multiply the exponents

Add the exponents

To the base of the fraction only

Separately to both the numerator and denominator

Only to the denominator

Only to the numerator

Exponents are distributed to each term

Exponents are always multiplied

Exponents are subtracted

Exponents are always added

To apply the exponent to each term inside parentheses separately

To add the exponent to each term inside parentheses

To multiply the exponent by the number of terms

To subtract the exponent from each term

The bases are added

The exponents are multiplied

The exponents are added

The bases are multiplied

Because it simplifies to multiplication

Because it represents division of terms

Because it's a rule of addition

Because it indicates the base is unchanged