Free Printable Exponent Properties and Rules

1.

What is the Product-of-Powers Property?

a)

$x^m\div x^n=x^{m\cdot n}$

b)

$x^m\cdot x^n=x^{m\cdot n}$

c)

$x^m\cdot x^n=x^{m+n}$

d)

$x^m-x^n=x^{m\cdot n}$

2.

Which is correct?

a)

$x^6\cdot x^4=x^{10}$

b)

$x^6\cdot x^4=x^{24}$

c)

$x^6\cdot x^4=x^2$

3.

Which is correct?

a)

$x^{10}\cdot x^5=x^{50}$

b)

$x^{10}\cdot x^5=x^{15}$

c)

$x^{10}\cdot x^5=x^2$

d)

$x^{10}\cdot x^5=x^5$

4.

What is a Power-of-a-Power Property?

a)

$\left(x^m\right)^n=x^{mn}$

b)

$\left(x^m\right)^n=x^{m+n}$

c)

$\left(x^m\right)^n=x^{m-n}$

5.

Which is correct?

a)

$\left(x^2\right)^3=x^1$

b)

$\left(x^2\right)^3=23x$

c)

$\left(x^2\right)^3=x^5$

d)

$\left(x^2\right)^3=x^6$

6.

Which is correct?

a)

$\left(x^8\right)^4=x^4$

b)

$\left(x^8\right)^4=x^{12}$

c)

$\left(x^8\right)^4=x^{32}$

d)

$\left(x^8\right)^4=x^2$

7.

What is the Power-of-a-Product Property?

a)

$\left(xy\right)^2=x^1y^1$

b)

$\left(xy\right)^2=\left(x\cdot2\right)\left(y\cdot2\right)$

c)

$\left(xy\right)^2=2xy$

d)

$\left(xy\right)^2=x^2y^2$

8.

Which is correct?

a)

$\left(xy\right)^8=x^8y^8$

b)

$\left(xy\right)^8=8xy$

c)

$\left(xy\right)^8=xy^{16}$

d)

$\left(xy\right)^8=x^⁴y^4$

9.

Which is correct?

a)

$\left(xy\right)^{20}=20xy$

b)

$\left(xy\right)^{20}=x^{10}y^{10}$

c)

$\left(xy\right)^{20}=x^{20}y^{20}$

d)

$\left(xy\right)^{20}=xy\div20$

10.

If -1 is raised to an odd power will the answer be 1 or -1?

a)

-1

b)

1

11.

If -1 is raised to an even power will the answer be -1 or 1?

a)

-1

b)

1

12.

$\left(-1\right)^3=?$

a)

-3

b)

1

c)

3

d)

-1

13.

$\left(-1\right)^{10}=?$

a)

-10

b)

1

c)

-1

d)

5

Exponent Properties and Rules

Total questions: 13

Worksheet time: 13mins

Similar Resources on Wayground