Exponent Laws

Laws that are used for simplifying expressions with exponents. These laws are helpful in simplifying expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents. It helps makes the process much easier.

Multiplication Law– When multiplying like bases, keep the base the same and add the exponents.

Division Law– When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Power Law– To raise a number with an exponent to a power, you multiply the exponent and the power.

Zero Exponent Law- Any number raised to the power of 0 is equal to 1.

Why?

Exponent laws are important to know so that you can easily solve many mathematical problems involving repeated multiplication. The exponent laws simplifies the divisions and multiplication operations to help solve the problems and simplifies the calculations.

Vocabulary

Exponents– A short way to write repeated multiplication, written in exponential form such as

Powers– A power is a number written in exponential form. Consisting of a base and an exponent.