Free Printable Multiply and Divide Exponents

1.

Simplify the expression.

a)

1/y⁵

b)

1/y²

c)

y²

d)

y⁵

2.

Simplify 2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

3.

Simplify 10xy³ * 8x⁵y³

a)

80xy³

b)

80x⁶y³

c)

80x⁶y⁶

d)

none of the above

4.

Simplify
$\frac{45x^6y^9}{5x^4y^2}$

a)

(9x²)/y⁷

b)

40x²y⁷

c)

9x²y⁷

d)

9x¹⁰y¹¹

5.

$\frac{8g^4h^3m^7}{-4g^4h^3m^6}$

a)

-2m

b)

2ghm

c)

-32g⁸h⁶m¹³

d)

no solution

6.

(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

7.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

8.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

9.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

10.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

11.

(6r)(5r²)

a)

30r³

b)

30r²

c)

11r³

d)

11r²

12.

When dividing with the same base: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

13.

a)

b)

16c³d³

c)

d)

14.

a)

7/ u³

b)

7u¹¹

c)

7u^1.75

d)

7u³

15.

(2n⁴) ^. (5n⁴)

a)

3n⁴

b)

10n¹⁰

c)

3n⁸

d)

10n⁸

16.

Simplify (c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

17.

^simplify (5x³)(2x²)

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

18.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

19.

$\frac{18w^{15}v^{10}}{6w^3v^2}$

a)

$12w^{12}v^8$

b)

$3w^{12}v^8$

c)

$3w^5v^5$

d)

$12w^5v^5$

20.

a)

$311^{14}$

b)

$311^2$

c)

$311^{48}$

21.

Multiply.
3x²⋅ 2x³

a)

5x⁵

b)

6x⁶

c)

5x⁵

d)

6x⁵

22.

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

a)

4

b)

2

c)

16

23.

a)

b)

16c³d³

c)

d)

24.

$\frac{n^8}{n^4}$

a)

$n^{4\ }$

b)

$n^{12}$

c)

$n^{-4}$

d)

$n^{-12}$

25.

$\frac{9h^6}{3h^3}$

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

26.

Simplify 9x⁵y²⋅ 9xy²

a)

81x⁶y⁴

b)

81x⁵y⁶

c)

9x⁶y⁴

d)

none of the above

27.

Simplify 2n⁴ * 6n⁴

a)

8n⁴

b)

12n⁸

c)

8n¹⁶

d)

none of the above

28.

Simplify: $\frac{30x^3y^5}{10x^2y^3}$

a)

$-3xy^2$

b)

$10xy^2$

c)

$3x^5y^8$

d)

$3xy^2$

29.

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

a)

4

b)

2

c)

16

30.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

31.

a)

3x³

b)

-4x⁷

c)

-3x⁷

d)

-3x³

32.

a)

2y²⁴

b)

2¹⁰

c)

2y¹⁰

d)

2y¹⁴

33.

a)

x¹⁵

b)

6x¹³

c)

2x⁵⁶

d)

x¹⁹

34.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

35.

Enter the value of n for the equation
3⁴⋅3ⁿ=3¹²

a)

n = 3

b)

n = 8

c)

n = -8

d)

n = 16

36.

$\left(r^2s^3t^8\right)\left(r^2s^2t\right)$

a)

$r^4s^5t^9$

b)

$r^4s^5t^8$

c)

$r^4t^9$

d)

$r^4s^5$

37.

Simplify: (3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

9x⁶y⁷

d)

6x⁶y⁷

38.

Simplify:

a)

x⁶

b)

x⁵

c)

x¹⁴

d)

x²

39.

Simplify the following expression:

(b³)⁸

a)

b¹¹

b)

8b³

c)

b²⁴

d)

24b

40.

Simplify the following expression:

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

41.

Which shows the Power Rule used correctly? $\left(ab\right)^5$

a)

$ab^5$

b)

$a^5b^5$

c)

$a^5b$

d)

$a^6b^6$

42.

$\left(3n^4\right)^3$

a)

$9n^{12}$

b)

$9n^7$

c)

$27n^7$

d)

$27n^{12}$

43.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

44.

Simplify. $\left(2cd^2\right)^4$

a)

$2^4c^4d^6$

b)

$2^4c^4d^8$

45.

Simplify the exponential expression. $\left(3^2a^4\right)^5$

a)

$3^{10}a^9$

b)

$3^{10}a^{20}$

c)

$3^7a^9$

d)

$3^7a^{20}$

46.

Which shows the Power Rule used correctly? $\left(ab\right)^5$

a)

$ab^5$

b)

$a^5b^5$

c)

$a^5b$

d)

$a^6b^6$

47.

\left(3u^2v^3\right)^2

a)

$9u^4v^5$

b)

$6u^4v^5$

c)

$9u^4v^6$

d)

$6u^4v^6$

48.

\left(4qm^2p^2\right)^4

a)

$16q^5m^6p^6$

b)

$256q^4m^8p^8$

c)

$16q^4m^6p^6$

d)

$256q^5m^6p^6$

49.

\left(3n^4\right)^3

a)

$9n^{12}$

b)

$9n^7$

c)

$27n^7$

d)

$27n^{12}$

50.

\left(4yx^4\right)^2

a)

$8y^3x^6$

b)

$6y^2x^8$

c)

$8y^2x^8$

d)

$16y^2x^8$

Multiply and Divide Exponents

Total questions: 50

Worksheet time: 2hrs 0mins

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