Free Printable Product Property of Exponents

1.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

2.

Simplify the expression. Write your answer as a power.

h^9\cdot h

a)

$h^8$

b)

$h^9$

c)

$h^{11}$

d)

$h^{10}$

3.

Simplify the expression. Write your answer as a power.

c^5\cdot c^5

a)

$c^{25}$

b)

$c^{10}$

c)

$c^{55}$

d)

$c^{15}$

4.

What is the BASE in the exponent below?
4³

a)

4

b)

3

c)

4³

d)

64

5.

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

a)

4

b)

2

c)

16

6.

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

a)

add

b)

subtract

c)

multiply

d)

divide

7.

y¹² x y¹⁰

a)

y²

b)

y²²

c)

y²⁰

d)

y¹²⁰

8.

Use the properties of exponents to write the expression as a single power: (b¹)(b¹¹) =

a)

b¹¹

b)

b¹⁰

c)

b¹²

9.

Simplify: $c^5\cdot c^3\cdot c^3$

a)

$c^{45}$

b)

$3c^{11}$

c)

$c^{11}$

d)

None of the above

10.

t⁹ x t⁸

a)

t¹

b)

t⁷²

c)

t¹⁷

d)

t

11.

Simplify:

$\left(6x^2\right)\left(-3x^5\right)$

a)

$18x^7$

b)

$-18x^7$

c)

$3x^7$

d)

$18x^{10}$

12.

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

a)

$15x^2$

b)

$-15x^8$

c)

$-2x^6$

d)

$-15x^6$

13.

Simplify:

$10u^3v^5\cdot7v^3$

a)

$70u^3v^{15}$

b)

$17u^3v^8$

c)

$70u^3v^8$

d)

None of the above

14.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

15.

(2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

16.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

17.

Simplify (2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

18.

$q^2\cdot2q^4$

a)

$2q^8$

b)

$2q^6$

c)

$16q^6$

d)

$16q^8$

19.

Simplify (2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

20.

(4x⁵y²)(6x²y³)

a)

10x¹⁰y⁶

b)

24x⁷y⁵

c)

24x¹⁰y⁶

d)

10x⁷y⁵

Product Property of Exponents - Day 1

Total questions: 20

Worksheet time: 2hrs 40mins

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