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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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