Free Printable Exponents and Rational Numbers Quiz

1.

What is the value of $2^3 \times 2^4$ ?

a)

$2^7$

b)

$2^{12}$

c)

$2^1$

d)

$2^{4}$

2.

Simplify: $5^6 \div 5^2$

a)

$5^8$

b)

$5^4$

c)

$5^{12}$

d)

$5^3$

3.

Which of the following is equal to $(-3)^2$ ?

a)

$-9$

b)

$6$

c)

$9$

d)

$-6$

4.

What is the value of $10^0$ ?

a)

$0$

b)

$1$

c)

$10$

d)

$-1$

5.

Simplify: $(2^3)^2$

a)

$2^5$

b)

$2^6$

c)

$2^9$

d)

$2^8$

6.

Which of the following is the correct law of exponents for multiplying powers with the same base?

a)

$a^m \times a^n = a^{m+n}$

b)

$a^m \times a^n = a^{m-n}$

c)

$a^m \times a^n = a^{mn}$

d)

$a^m \times a^n = a^{m/n}$

7.

Simplify: $7^5 \div 7^2$

a)

$7^3$

b)

$7^7$

c)

$7^{10}$

d)

$7^2$

8.

What is the value of $(-2)^3$ ?

a)

$-6$

b)

$8$

c)

$-8$

d)

$6$

9.

Simplify: $(3^2)^4$

a)

$3^6$

b)

$3^8$

c)

$3^4$

d)

$3^2$

10.

Simplify: $4^3 \times 4^2$

a)

$4^5$

b)

$4^6$

c)

$4^1$

d)

$4^8$

11.

Which of the following is the correct law of exponents for dividing powers with the same base?

a)

$a^m \div a^n = a^{m+n}$

b)

$a^m \div a^n = a^{m-n}$

c)

$a^m \div a^n = a^{mn}$

d)

$a^m \div a^n = a^{m/n}$

12.

Simplify: $(5^2)^3$

a)

$5^5$

b)

$5^6$

c)

$5^8$

d)

$5^9$

13.

What is the value of $3^0$ ?

a)

$0$

b)

$1$

c)

$3$

d)

$-1$

14.

Simplify: $6^4 \div 6^2$

a)

$6^2$

b)

$6^6$

c)

$6^8$

d)

$6^1$

15.

Which of the following is the correct law of exponents for a power of a power?

a)

$(a^m)^n = a^{m+n}$

b)

$(a^m)^n = a^{mn}$

c)

$(a^m)^n = a^{m-n}$

d)

$(a^m)^n = a^{m/n}$

16.

Simplify: $8^5 \div 8^3$

a)

$8^2$

b)

$8^8$

c)

$8^1$

d)

$8^0$

17.

Simplify: $(2^4)^2$

a)

$2^6$

b)

$2^8$

c)

$2^2$

d)

$2^4$

18.

What is the value of $7^1$ ?

a)

$0$

b)

$1$

c)

$7$

d)

$-7$

19.

Which of the following is the correct law of exponents for multiplying powers with different bases but the same exponent?

a)

$a^m \times b^m = (ab)^m$

b)

$a^m \times b^m = a^{m+b}$

c)

$a^m \times b^m = (a+b)^m$

d)

$a^m \times b^m = (ab)^{m+m}$

20.

Simplify: $9^4 \div 9^2$

a)

$9^2$

b)

$9^6$

c)

$9^8$

d)

$9^1$

21.

What is the value of $4^0$ ?

a)

$0$

b)

$1$

c)

$4$

d)

$-1$

22.

Simplify: $(x^3)^2$

a)

$x^5$

b)

$x^6$

c)

$x^9$

d)

$x^1$

23.

What is the value of $5^1 \times 5^2$ ?

a)

$5^3$

b)

$5^2$

c)

$5^1$

d)

$5^0$

24.

What is the value of $x^0$ for any nonzero $x$ ?

a)

$0$

b)

$1$

c)

$x$

d)

$-1$

25.

Simplify: $3^5 \div 3^2$

a)

$3^3$

b)

$3^7$

c)

$3^{10}$

d)

$3^2$

26.

What is the value of $(2^2)^3$ ?

a)

$2^5$

b)

$2^6$

c)

$2^8$

d)

$2^3$

27.

Which of the following is the correct law of exponents for dividing powers with different bases but the same exponent?

a)

$\frac{a^m}{b^m} = \left(\frac{a}{b}\right)^m$

b)

$\frac{a^m}{b^m} = (ab)^m$

c)

$\frac{a^m}{b^m} = a^{m-b}$

d)

$\frac{a^m}{b^m} = (a-b)^m$

28.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

29.

A rational number can be written as a fraction.

a)

True

b)

False

30.

0.8 is a rational number

a)

True

b)

False

31.

0 is a whole number

a)

True

b)

False

32.

-9 is an integer

a)

True

b)

False

33.

6 is a rational number

a)

True

b)

False

34.

Classify the Number: -23

a)

Rational

b)

rational, integer

c)

integer

d)

rational, whole

35.

How would 5/9 be classified?

a)

rational

b)

whole and integer

c)

only integer

d)

only whole

36.

Does this graphic organizer correctly group the numbers?

a)

Yes

b)

No

37.

Does the graphic organizer correctly group the numbers?

a)

Yes

b)

No

38.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

39.

A rational number can be written as a fraction.

a)

True

b)

False

40.

Classify this number: 6.7

a)

natural

b)

rational

c)

whole

d)

rational, integer, and whole

41.

What number below is a natural, whole, integer, and rational number ?

a)

-4

b)

5.1

c)

0.7

d)

3

42.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

Exponents and Rational Numbers Quiz

Total questions: 42

Worksheet time: 12mins

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