Free Printable Exponents Properties Practice

1.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

2.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

3.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

4.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

5.

$y^4$ is the same as...

a)

$y\times4$

b)

$4y$

c)

$y\cdot y\cdot y\cdot y$

6.

$\left(4x^2\right)^3$ is the same as...

a)

$\left(4\cdot3\cdot x\cdot x\right)\left(4\cdot3\cdot x\cdot x\right)$

b)

$\left(4\cdot x\cdot x\cdot3\right)$

c)

$\left(4\cdot x\cdot x\right)\left(4\cdot x\cdot x\right)\left(4\cdot x\cdot x\right)$

7.

a)

-30x¹¹

b)

-30x¹⁸

c)

-x¹¹

d)

-x¹⁸

8.

If (2^x)⁵=2¹⁵, what does x equal?

a)

x = 3

b)

x = 5

c)

x = 10

9.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

10.

a)

$\frac{1}{16}$

b)

$\frac{1}{8}$

c)

-16

d)

-8

11.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

12.

Simplify:

a)

x³

b)

x¹¹

c)

1/x¹¹

d)

1/x³

13.

a)

10t²

b)

10/t²

c)

18t²

d)

2t

14.

Simplify:

a)

x⁶y⁴

b)

x²y⁴

c)

x⁸y⁴

d)

x⁸y

15.

2.) Simplify
(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

16.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

17.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

18.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

8x⁷y¹⁰

19.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

20.

a)

9a⁸/4b²

b)

9b²/4a⁸

c)

9a⁴b⁶/4

d)

9a⁴/4b²

21.

Find the product of $\left(3x^4y^2\right)^2$ and $\left(2xy\right)^3$

a)

$128x^7y^8$

b)

$72x^9y^7$

c)

$72x^{11}y^7$

d)

$128x^8y^{11}$

22.

If the area of a rectangle is $42x^8y^6$ and length is $7x^2y^3$ what is the width?

a)

$6x^4y^2$

b)

$49x^{10}y^9$

c)

$6x^6y^3$

d)

$35x^6y^3$

23.

Simplify $\left(\frac{x^4}{y^{-2}}\right)^3$

a)

$x^{12}y^6$

b)

$\frac{x^{12}}{y^{-6}}$

c)

$x^7y$

d)

$\frac{y^6}{x^{12}}$

24.

Simplify using the exponent rules

a)

b)

c)

d)

25.

Simplify $\frac{3x^2y^6z^2}{15x^4y^4z^{-4}}$

a)

$\frac{y^2z^6}{5x^2}$

b)

$\frac{5y^3z^6}{x^2}$

c)

$\frac{y^2}{5x^2z^2}$

d)

$\frac{8y^3}{x^2z^y}$

Exponents Properties Practice

Total questions: 25

Worksheet time: 1hrs 7mins

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