Patterns in Products and Quotients

Estimate the quotient: 891÷ 32

• 30

• 900

• 3

• 100

Estimate the quotient: 516 ÷ 48

• 10

• 50

• 5

• 40

True or False: 

• True 

• False

Simplify the expression.

• 7⁶

• 7^-5

• 1/7⁵

• 7⁵

Quotient Rule states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

True or False?

• True

• False

Evaluate using the quotient rule: 

• a⁸b¹³

• a²b⁷

• a¹⁵b³⁰

• It's like "distributing" the power to each part of the top and bottom

• We subtract m and n, then multiply by p

• We exponent-ize everything

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Find the product.

• 21m⁴

• m⁹

• 24m⁷

• 14m⁴