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Exponents Properties Review Worksheet

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Exponents Properties Review Worksheet

Use the exponent properties to simplify or evaluate each expression. Show your work for written problems. Assume variables are nonzero when they appear in a denominator or have a negative exponent.

Choose or select

For the first three questions, choose one answer. For the last question, select every correct answer.

1.Which expression is equivalent to y⁶ · y⁴?

y²
y¹⁰
y²⁴
2y¹⁰

2.Simplify (5³)².

5⁵
5⁶
25⁶
10³

3.What is the value of 4⁻²?

−16
−8
1/8
1/16

4.Select every expression equal to 8⁰.

1
0
12⁰
(−3)⁰

Complete and simplify

Write the missing exponent or simplify each expression. Give numerical answers as fractions when appropriate.

5.Complete the product rule: aᵖ · aᑫ = a^.

6.Complete the power-of-a-power rule: (aᵖ)ᑫ = a^.

7.Complete the quotient rule, where a ≠ 0: aᵖ ÷ aᑫ = a^.

8.For a ≠ 0, write the value of a⁰.

9.Simplify 6⁴ · 6³ as a single power.

10.Simplify (3²)⁴ as a single power.

11.Simplify 9⁷ ÷ 9³ as a single power.

12.Write 2⁻⁴ as a positive fraction.

Connect and explain

Use exponent properties to solve these problems. Show enough work to make your reasoning clear.

13.Match each expression to its simplified form.

2⁵ · 2²
(4²)³
7⁹ ÷ 7⁵
10⁻³

7⁴
1/10³
4⁶
2⁷

14.Evaluate (3²)³ · 3⁻⁴. Give your answer as a power of 3 and as an integer.

15.A lab sample starts with 5² cells. The cell count triples each hour. Write an expression for the number of cells after 3 hours, then evaluate it.

16.Explain why 2⁻³ is equal to 1/2³. Include the value of both expressions.

17.Riley says 4² · 4³ = 16⁵. Is Riley correct? State the correct simplification and explain the exponent rule used.

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10th Grade

Exponents Properties Review Worksheet

Exponents Properties Review Worksheet

Choose or select

Complete and simplify

Connect and explain

3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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