Free Printable Power Rules

1.

$10\times10\times10\times10\times10=$

a)

$10\times5$

b)

$10^5$

2.

$10^3=$

a)

$10\times10\times10$

b)

$10\times3$

c)

$10+10+10$

d)

10,000

3.

Which number is the BASE? $2^7$ =128

a)

2

b)

7

c)

128

d)

$2^7$

4.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

5.

$y^0=$

a)

y

b)

0

c)

1

d)

10

6.

$365^0=$

a)

0

b)

1

c)

365

d)

$\frac{1}{365}$

7.

$x^{-5}$ =

a)

$\frac{1}{x^{-5}}$

b)

$\frac{1}{x^5}$

c)

$\frac{x^5}{1}$

d)

$\frac{x^{-5}}{1}$

8.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

9.

$x^3\cdot x^4\ =$

a)

$x^{12\ }$

b)

$x^{-1}$

c)

$x^7$

d)

$x^{34}$

10.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

11.

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

a)

$x^9$

b)

$x^{25}$

c)

$x^{-9}$

d)

$x^{-25}$

12.

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

a)

$3x^2$

b)

$3x$

c)

$9x$

d)

$6x$

13.

$\left(x^5\right)^4$

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

14.

$\left(x^7\right)^2$ =

a)

$x^{14}$

b)

$x^9$

c)

$x^5$

d)

$2x^7$

15.

Using exponents, simplify the following expression:

$x^{-6}\cdot x^{10}$

a)

$x^{16}$

b)

$x^4$

c)

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

d)

$\frac{1}{x^{16}}$

16.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

17.

Simplify the following expression:

-(9)⁰

a)

-9

b)

0

c)

-1

d)

1

18.

In 2³what is the exponent?

a)

2

b)

3

c)

2³

19.

$\left(3x\right)^3$

a)

$9x^3$

b)

$x^3$

c)

$27x^3$

d)

$6x^3$

20.

$7b^3\ \cdot\ 3b^2$

a)

$10b^6$

b)

$21b^6$

c)

$10b^5$

d)

$21b^5$

Power Rules

Total questions: 20

Worksheet time: 9mins

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