This worksheet contains 20 questions over the laws of exponents- product and quotient rules. Questions are all algebra expressions and will not give any negative exponent answers.

The questions on this worksheet are scaffolded intentionally to gradually increase in difficulty:

no coefficients
invisible exponent of 1
coefficients in front of powers
coefficients and invisible exponents
2 variables with no coefficients (i.e. "x" and "y")
2 variables with invisible exponents
2 variables with coefficients in front
2 variables with coefficients and invisible exponents

Answer key is included. Formulas are also in the footnote.

Total Pages

2 pages

Answer Key

Included

Teaching Duration

45 minutes

Last updated 5 months ago

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Standards

to see state-specific standards (only available in the US).

CCSSHSN-RN.A.1

Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5 to the 1/3 power to be the cube root of 5 because we want (5 to the 1/3 power)³ = 5 to the (1/3)(3) power to hold, so (5 to the 1/3 power)³ must equal 5.

CCSSHSN-RN.A.2

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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