Free Printable Unit 7 Quiz (C) : Rational Exponents and Exponent Properties

Worksheets

Unit 7 Quiz (C) : Rational Exponents and Exponent Properties

Total questions: 24

Worksheet time: 1hrs 4mins

Name

Class

Date

(5³x²y⁴)⁰

5xy

Simplify

(2a²b⁴z)(6a³b²z⁵)

8a⁵b⁶z⁶

12a⁶b⁸z⁵

12a⁵b⁶z⁶

8a⁶b⁸z⁵

Simplify the expression shown. Your answer should contain only positive exponents.

16a¹²b¹⁴

Simplify the expression shown. Your answer should contain only positive exponents.

4x⁶

y⁴

32x⁵y⁴

-4x⁷y³

Simplify the expression shown. Your answer should contain only positive exponents.

-a¹²b¹²

-a⁷b⁷

a⁷b⁷

a¹²b¹²

Simplify the expression shown. Your answer should contain only positive exponents.

-24x⁴y⁶

12x⁴y⁵

-24x⁴y²⁴

-3x⁴y²

10.

When raising a power to a power, such as (x³)⁵ you will __________ the exponents.

Add

Subtract

Multiply

Divide

11.

When multiplying powers of the same base, such as (x²)(x), you will _____________ the exponents.

Add

Subtract

Multiply

Divide

12.

Simplify:

13.

Simplify the following expression:

14.

Simplify:

15.

Write the expression in exponential form:
∛x²

x^3/2

x^2/3

x^1/2

x^1/3

16.

Write the expression in exponential form:
∜x⁵

x^4/5

x^5/4

x⁵

x^1/4

17.

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

∜x³

∛x⁴

x^.75

√x²

18.

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

√y

∛y

√y²

∛y²

19.

$\left(xyz^5\right)^{\frac{1}{2}}\times\sqrt{y^4z^{15}}$

y²z¹⁰√xy

20yz√xy

xy²z¹⁰√y

yz⁶√xy²z²

20.

SIMPLIFY:

21.

22.

Simplify: ∜(16c⁵d⁸)

$\left(8c^4d^4\right)^{\frac{1}{4}}\times\left(2cd^4\right)^{\frac{1}{4}}$

2cd(∜c)

2cd²(∜c)

4cd²(∜c)

4cd²

23.

Simplify: $\left(45x^4y^7\right)^{\frac{1}{2}}$

3x²y³√5

9x²y³√5y

3x²y³√5y

3x⁴y⁷

24.

Simplify.
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²

x¹⁹y¹²z⁹

x¹⁹ y¹⁴z⁹

x¹³y¹⁰z⁹

x²³y⁴²z¹¹

100 %

Unit 7 Quiz (C) : Rational Exponents and Exponent Properties

Total questions: 24

Worksheet time: 1hrs 4mins

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