# Laws of Exponents

Please complete this worksheet. Feel free to discuss it
with your neighbors.

Observe the distinction between multiplication and exponentiation .

Examples:

Conclusion: Multiplication is repeated addition !

Conclusion: Exponentiation is repeated multiplication!

**Write out each of the following expressions using repeated multiplication.
Then
count the number of factors to find the correct exponent.**

When you are multiplying numbers with the same base you
________ the exponents .

General rule is ___________

** Dividing exponential numbers with the same base.**

When you are dividing numbers with same base you ____________ the exponents.

General rule

is when

and,when

**Raising a power to a power .**

When you are raising a power to a power, you
____________________ the base and

______________ the exponents.

General rule is _______

**Raising a product to a power .**

When you are raising a product, you raise ________ factor
to ________________.

General rule is _______

**Raising a quotient ( or fraction ) to a power.**

When you raise an entire quotient ( or fraction ) to a
power, you _______ _______ the

numerator and the denominator to________________.

General rule is

Practice problems. Please use the laws to simplify the following problems.

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