Quiz about Exponents and Rational Numbers Quiz

Question 1

What is the value of $$2^3 imes 2^4$$ ?

Accepted Answer

$$2^7$$

Answer

$$2^{12}$$

Answer

$$2^1$$

Answer

$$2^{4}$$

Question 2

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

Accepted Answer

$$5^4$$

Answer

$$5^8$$

Answer

$$5^{12}$$

Answer

$$5^3$$

Question 3

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

Accepted Answer

$$9$$

Answer

$$-9$$

Answer

$$6$$

Answer

$$-6$$

Question 4

What is the value of $$10^0$$ ?

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$10$$

Answer

$$-1$$

Question 5

Simplify: $$(2^3)^2$$

Accepted Answer

$$2^6$$

Answer

$$2^5$$

Answer

$$2^9$$

Answer

$$2^8$$

Question 6

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

Accepted Answer

$$a^m imes a^n = a^{m+n}$$

Answer

$$a^m imes a^n = a^{m-n}$$

Answer

$$a^m imes a^n = a^{mn}$$

Answer

$$a^m imes a^n = a^{m/n}$$

Question 7

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

Accepted Answer

$$7^3$$

Answer

$$7^7$$

Answer

$$7^{10}$$

Answer

$$7^2$$

Question 8

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

Accepted Answer

$$-8$$

Answer

$$-6$$

Answer

$$8$$

Answer

$$6$$

Question 9

Simplify: $$(3^2)^4$$

Accepted Answer

$$3^8$$

Answer

$$3^6$$

Answer

$$3^4$$

Answer

$$3^2$$

Question 10

Simplify: $$4^3 imes 4^2$$

Accepted Answer

$$4^5$$

Answer

$$4^6$$

Answer

$$4^1$$

Answer

$$4^8$$

Question 11

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 12

Simplify: $$(5^2)^3$$

Accepted Answer

$$5^6$$

Answer

$$5^5$$

Answer

$$5^8$$

Answer

$$5^9$$

Question 13

What is the value of $$3^0$$ ?

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$3$$

Answer

$$-1$$

Question 14

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

Accepted Answer

$$6^2$$

Answer

$$6^6$$

Answer

$$6^8$$

Answer

$$6^1$$

Question 15

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 16

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

Accepted Answer

$$8^2$$

Answer

$$8^8$$

Answer

$$8^1$$

Answer

$$8^0$$

Question 17

Simplify: $$(2^4)^2$$

Accepted Answer

$$2^8$$

Answer

$$2^6$$

Answer

$$2^2$$

Answer

$$2^4$$

Question 18

What is the value of $$7^1$$ ?

Accepted Answer

$$7$$

Answer

$$0$$

Answer

$$1$$

Answer

$$-7$$

Question 19

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

Accepted Answer

$$a^m imes b^m = (ab)^m$$

Answer

$$a^m imes b^m = a^{m+b}$$

Answer

$$a^m imes b^m = (a+b)^m$$

Answer

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

Question 20

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

Accepted Answer

$$9^2$$

Answer

$$9^6$$

Answer

$$9^8$$

Answer

$$9^1$$

Question 21

What is the value of $$4^0$$ ?

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$4$$

Answer

$$-1$$

Question 22

Simplify: $$(x^3)^2$$

Accepted Answer

$$x^6$$

Answer

$$x^5$$

Answer

$$x^9$$

Answer

$$x^1$$

Question 23

What is the value of $$5^1 imes 5^2$$ ?

Accepted Answer

$$5^3$$

Answer

$$5^2$$

Answer

$$5^1$$

Answer

$$5^0$$

Question 24

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

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$x$$

Answer

$$-1$$

Question 25

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

Accepted Answer

$$3^3$$

Answer

$$3^7$$

Answer

$$3^{10}$$

Answer

$$3^2$$

Question 26

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

Accepted Answer

$$2^6$$

Answer

$$2^5$$

Answer

$$2^8$$

Answer

$$2^3$$

Question 27

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 28

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

Accepted Answer

integers

Answer

whole numbers

Answer

rational numbers

Answer

natural numbers

Question 29

A rational number can be written as a fraction.

Accepted Answer

True

Answer

False

Question 30

0.8 is a rational number

Accepted Answer

True

Answer

False

Question 31

0 is a whole number

Accepted Answer

True

Answer

False

Question 32

-9 is an integer

Accepted Answer

True

Answer

False

Question 33

6 is a rational number

Accepted Answer

True

Answer

False

Question 34

Classify the Number: -23

Accepted Answer

rational, integer

Answer

Rational

Answer

integer

Answer

rational, whole

Question 35

How would 5/9 be classified?

Accepted Answer

rational

Answer

whole and integer

Answer

only integer

Answer

only whole

Question 36

Does this graphic organizer correctly group the numbers?

Accepted Answer

No

Answer

Yes

Question 37

Does the graphic organizer correctly group the numbers?

Accepted Answer

Yes

Answer

No

Question 38

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

Accepted Answer

integers

Answer

whole numbers

Answer

rational numbers

Answer

natural numbers

Question 39

A rational number can be written as a fraction.

Accepted Answer

True

Answer

False

Question 40

Classify this number: 6.7

Accepted Answer

rational

Answer

natural

Answer

whole

Answer

rational, integer, and whole

Question 41

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

Accepted Answer

3

Answer

-4

Answer

5.1

Answer

0.7

Question 42

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

Accepted Answer

integers

Answer

whole numbers

Answer

rational numbers

Answer

natural numbers

Exponents and Rational Numbers Quiz

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