Free Printable Exponent Rules Quiz 2.B

1.

Simplify 2m⁴• 5m²

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

2.

Simplify the expression: r⁶⋅r²⋅r³=

a)

r⁶⁺²⁺³

b)

r¹¹

c)

11r

3.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

4.

Simplify: (2x³y⁵)³

a)

8x⁹y¹⁵

b)

6x⁹y¹⁵

c)

2x⁹y¹⁵

d)

8x⁶y⁸

5.

Which statement is correct?

a)

1⁰ = 1

b)

0¹= 1

c)

1⁰ = 0

d)

0⁰ = 1

6.

The product rule states that when multiplying powers with the same base __________________ the exponents.

a)

subtract

b)

add

c)

multiply

d)

divide

7.

$Simplify:\ \left(5x^2y^5\right)\left(4xy^3\right)$

a)

$20x^3y^8$

b)

$20x^2y^{15}$

c)

$9x^3y^8$

d)

$1$

8.

$Simplify:\ \left(-3x^3Y^2\right)^0$

a)

1

b)

-1

c)

3

d)

-3

9.

$Simplify:\ \frac{\left(4x^{-4}y^3\right)\left(3x^2y^2\right)}{24x^{-9}y^4}$

a)

$\frac{x^7y}{2}$

b)

$12x^{-11}y^9$

c)

$\frac{12y^9}{x^{11}}$

d)

$\frac{xy^2}{2}$

10.

Simplify the expression.

\frac{4^0\cdot4^5}{4^{-3}}

a)

$1$

b)

$4^2$

c)

$4^8$

d)

$\frac{1}{4^8}$

11.

Simplify the expression.

\frac{m^{-1}\cdot m^2}{m^5\cdot m^{-4}}

a)

$\frac{1}{m^6}$

b)

$1$

c)

$m^3$

d)

$m^6$

12.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

13.

Which expression(s) are equivalent to 5⁵ ?
5⁴⋅5⁰5⁴⋅5¹ 5⁴⋅5² 5⁶⋅5^-¹

a)

5⁴⋅5⁰and5⁴⋅5¹

b)

5⁴⋅5¹ and5⁴⋅5²

c)

5⁴⋅5² and 5⁶⋅5^-¹

d)

5⁴⋅5¹ and 5⁶⋅5^-¹

14.

$\frac{x^{17}}{x^8}$

a)

$x^9$

b)

$x^{25}$

c)

$x^{-9}$

d)

$x^{-25}$

15.

$\frac{9x^2}{3x^{ }}=$

a)

$3x^2$

b)

$3x$

c)

$9x$

d)

$6x$

16.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

17.

Simplify using exponent rules.

a)

19,683y³

b)

243y³

c)

y³/243

d)

y³/19,683

18.

Which of the following choices represents the missing exponent (n)?

\frac{5^{10}}{5^n}=5^2

a)

0

b)

5

c)

8

d)

12

19.

Simplify the expression.

\left(\frac{c^2\cdot c^4}{c^3}\right)^3

a)

$\frac{1}{c^9}$

b)

$c^6$

c)

$c^9$

d)

$c^{15}$

Exponent Rules Quiz 2.B

Total questions: 19

Worksheet time: 35mins

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