Hey there! Imagine Liam and Aiden are on a math adventure, and they stumble upon a mysterious gate. The gate has a riddle that goes like this: 'What is the Product of Powers Property?' Can you help them unlock the gate?

Product of Powers Property states that when multiplying two powers with the same base, you add the exponents.

Product of Roots Property states that when multiplying two roots with the same base, you multiply the exponents.

Product of Quotients Property states that when multiplying two quotients with the same base, you subtract the exponents.

Product of Sums Property states that when multiplying two sums with the same base, you add the exponents.

Expressing Exponents

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.1, HSN.RN.A.2, HSA.APR.A.1

Standards-aligned

Anthony Clark

FREE Resource

14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the following expression:

5

25

125

625

Write the expression in radical form.
x^3/4

∜x³

∛x⁴

x^.75

√x²

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the expression in radical form.
y^1/2

√y

∛y

√y²

∛y²

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression:
27^1/3

3

9

27

3³

5.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Check all that is true

Simplify the expression:
36^1/2

6

-6

1296

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Check all that is true
Simplify the expression:
27^1/3

3

9

∛27

3³

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

an exponent 1/2 means

square root

cube root

fourth root

fifth root

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Expressing Exponents