Quiz about Laws of Exponents

Question 1

Rewrite the expression as a power.
(2⁴)(2⁵)

Accepted Answer

29

Answer

220

Answer

49

Answer

420

Question 2

Simplify the expression.
(x²)(x⁵)

Accepted Answer

x7

Answer

x-7

Answer

x8

Answer

x3

Question 3

Evaluate the expression using the quotient rule.

Accepted Answer

622

Answer

122

Answer

130

Answer

630

Question 4

Evaluate this expression using the quotient rule.

Accepted Answer

95

Answer

99

Answer

15

Answer

9-5

Question 5

Complete the following statement to represent the quotient rule:
x^a/ x^{b = ?}

Accepted Answer

xa - b

Answer

xa + b

Answer

xa x b

Answer

abx

Question 6

Simplify the expression using exponential notation:

$$a^2\cdot a^4$$

Accepted Answer

$$a^6$$

Answer

$$a^8$$

Answer

$$a^2$$

Answer

$$a^{24}$$

Question 7

Simplify the expression using exponential notation:

$$a^6b^7\cdot a^4b^6$$

Accepted Answer

$$a^{10}b^{13}$$

Answer

$$a^{24}b^{42}$$

Answer

$$a^{13}b^{10}$$

Answer

$$a^3b$$

Question 8

According to exponent rules, when we multiply the same base we _______ the exponents.

Accepted Answer

Add

Answer

Multiply

Answer

Divide

Answer

Subtract

Question 9

According to exponent rules, when we divide the expressions we _______ the exponents.

Accepted Answer

subtract

Answer

add

Answer

multiply

Answer

divide

Question 10

Simplify the expression using exponential notation:

$$\frac{m^5n^6}{m}$$

Accepted Answer

$$m^4n^6$$

Answer

$$m^6n^6$$

Answer

$$m^3n$$

Answer

$$mn$$

Question 11

Solve and Simplify (no exponent)

$$\left(2^2\right)^3$$

Accepted Answer

$$64$$

Answer

$$2^6$$

Answer

$$2^5$$

Answer

$$32$$

Question 12

Question 12.

Accepted Answer

a10

Answer

a7

Answer

a3

Answer

a-3

Question 13

Simplify the expression.

Accepted Answer

75

Answer

76

Answer

7-5

Answer

1/75

Question 14

True or False:

Accepted Answer

True

Answer

False

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