Simplifying Exponentials Exponent Rules

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

• Add

• Subract

• Multiply

• Divide

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

• add

• subtract

• multiply

• divide

If a number or variable does not have an exponent, we can assume the exponent is:

• 0

• 1

Simplify to an equivalent expression BUT leave in exponent form.
                                   4³⋅4⁵

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵

Mathematical Equivalence

ON

Which answer is the given expression fully simplified?

• 32q⁷/w

• 20q¹⁷w⁹

• 32q⁷w⁹

• 20qw

Simplify
x⁷y⁴ ⁄ x³y²

• x⁴y²

• x¹⁰y⁶

• x²¹y⁸

• x⁴y⁶

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Simplify the expression.

• 8ac

• -24abc

• -8ac

• -8abc

• 8a⁹b⁶c³