Free Printable Laws of PIE

1.

How is

4^3

related to

4^{-3}

?

a)

$4^3$ is the opposite of $4^{-3}$

b)

$4^3$ is the additive inverse of $4^{-3}$

c)

$4^3$ is the reciprocal of $4^{-3}$

d)

$4^3$ is the negative of $4^{-3}$

2.

Which expression is equivalent to $5^{-3}$ ?

a)

-125

b)

$-\frac{1}{125}$

c)

$\frac{1}{125}$

d)

-15

3.

What is the simplified form of $2^0m^2n^{-4}$ ?

a)

$\frac{m^2}{n^4}$

b)

$\frac{2}{m^2}$

c)

$\frac{1}{m^2}$

d)

$2m^2$

4.

Which of the following is TRUE?

a)

$3^{-2}=9$

b)

$\left(\frac{1}{2}\right)^{-2}=4$

c)

$\frac{h^5}{h^5}=h^{10}$

d)

$2^{-3\ }=8$

5.

$5x^{-15\ }$ is equal to

a)

$\frac{5}{x^{15}}$

b)

$\frac{5x}{15}$

c)

$\frac{x}{x^{15}}$

d)

$\frac{5x}{x^{-15}}$

6.

$\frac{x^2y^3}{x^{3\ }y^2}$

Which of the following expressions is simplified form of

a)

$\frac{y}{x}$

b)

$\frac{x}{y}$

c)

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

d)

xy

7.

what is the simplified form of $\left(2a^{-2\ }b^4\right)^{-3}$ ?

a)

$8a^6b^{12}$

b)

$\frac{a^6}{8b^{12}}$

c)

$\frac{b^{12}}{8a}$

d)

$\frac{a^{-6}}{8b^{12}}$

8.

Which is not equal to twenty raised to the third power?

a)

$20^3$

b)

$3^{20}$

c)

8000

d)

(20)(20)(20)

9.

$\frac{6}{r^{-5}s^{-1}}$ is equal to_______

a)

$6r^5s$

b)

$6r^5s^{-1}$

c)

$\frac{r^5s}{6}$

d)

$\frac{r^5}{s^6}$

10.

What is the simplified form of $4^05^{-2}6^{-1}100^0$ ?

a)

$\frac{1}{25}$

b)

$\frac{1}{100}$

c)

$\frac{1}{150}$

d)

25

11.

In the expression $-\frac{1}{2}mn^2$ , what is the base?

a)

$-\frac{1}{2}mn$

b)

m

c)

n

d)

2

12.

What value of n will make the statement TRUE in $\frac{c^3}{c^2}=c^n$

a)

4

b)

3

c)

2

d)

1

13.

If m and n are natural numbers, where $m>n$ and $x\ne0$ , then

$\frac{x^m}{x^n}=_{ }$ ______

a)

$x^{mn}$

b)

$x^{m-n^{ }}$

c)

$x^{m+n}$

d)

$x^{\frac{m}{n}}$

14.

To divide exponential expressions with nonzero base, keep the base and subtract the ________

a)

base

b)

exponent

c)

constant

d)

numerical coeefficient

15.

What do you call a number which tells how many times its base is to be used as a factor ?

a)

base

b)

constant

c)

exponent

d)

coefficient

16.

Any number with a zero exponent is equal to_______.

a)

1

b)

2

c)

3

d)

4

17.

Exponents are also called___________.

a)

base

b)

constant

c)

powers

d)

coeffiecient

18.

What is the expanded form of the expression $3^9$ ?

a)

3 X 3 X 3 X 3 X 3 X 3

b)

10 X 10 X 10

c)

3 X 10

d)

3 X 3 X 3 X 3 X 3 X 3 X 3 X 3 X 3

19.

How do you read $8^4$ ?

a)

eight raised to the fourth power

b)

four raised to eight

c)

eight power of four

d)

eight times four

20.

Which of the following expressions is equal to $\left(-2a\right)^3$ ?

a)

$-2a^3$

b)

$-8a^3$

c)

$2a^3$

d)

$8a^3$

Laws of PIE

Total questions: 20

Worksheet time: 15mins

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