Quiz about Exponent Review

Question 1

Rewrite with positive exponents: $$x^{-a}$$

Accepted Answer

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

Answer

$$ax$$

Answer

$$\frac{a}{x}$$

Answer

$$-ax$$

Question 2

Rewrite using a positive exponent.
g^-7

Accepted Answer

1/g7

Answer

g7

Answer

1/g-7

Answer

-g7

Question 3

Rewrite using a positive exponent.

2w^-13

Accepted Answer

$$\frac{2}{w^{13}}$$

Answer

-w13

Answer

$$\frac{2}{w^{-13}}$$

Answer

$$2w^{13}$$

Question 4

Rewrite the expression with a negative exponent.

$$\frac{1}{12^4}$$

Accepted Answer

$$12^{-4}$$

Answer

$$\frac{1}{12^{-4}}$$

Answer

$$12^4$$

Answer

$$\frac{1}{20,736}$$

Question 5

Rewrite the following expression with positive exponents only: $$\frac{1}{3^{-4}}$$

Accepted Answer

$$3^4$$

Answer

$$12$$

Answer

$$\frac{1}{-12}$$

Answer

$$-3^4$$

Question 6

Rewrite each expression with a negative exponent.

¹/₁₂₅

Accepted Answer

5-3

Answer

1/53

Answer

53

Answer

1/5-3

Question 7

Rewrite using a positive exponent.
$$w^{-13}$$

Accepted Answer

$$\frac{1}{w^{13}}$$

Answer

$$-w^{13}$$

Answer

$$\frac{1}{w^{-13}}$$

Answer

$$w^{13}$$

Question 8

Rewrite using a positive exponent.
10^-7

Accepted Answer

1/107

Answer

107

Answer

1/10-7

Answer

-107

Question 9

Question 9.

Accepted Answer

x7

Answer

x2.75

Answer

x44

Answer

x15

Question 10

Simplify

Accepted Answer

76

Answer

72

Answer

73

Answer

78

Question 11

What mistake did this student make?

Accepted Answer

student divided exponents instead of subtracting

Answer

student multiplied the exponents instead of adding

Answer

there is no mistake, the answer is correct

Answer

student divided the exponents instead of adding

Question 12

Question 12.

Accepted Answer

43

Answer

415

Answer

13

Answer

115

Question 13

Question 13.

Accepted Answer

x

Answer

x2

Answer

x3

Answer

x5

Question 14

Question 14.

Accepted Answer

z10

Answer

110

Answer

126

Answer

z26

Question 15

What should the student have answered?

Accepted Answer

$$y^7$$

Answer

$$y^{-2}$$

Answer

$$y^{21}$$

Answer

$$y^{12}$$

Question 16

Question 16.

Accepted Answer

$$\frac{-x^4y^7}{3}$$

Answer

$$\frac{3}{-x^4y^7}$$

Answer

$$x^5y^{10}$$

Answer

$$6x^6y^{13}$$

Question 17

Which expression is equivalent to $$\frac{x^2y^2z^2}{4y^4}$$ ?

Accepted Answer

$$\frac{x^2z^2}{4y^2}$$

Answer

$$4y^6$$

Answer

$$y^6$$

Answer

$$4x^2y^6z^2$$

Question 18

$$\frac{3x^5y}{12x^3y^2}$$

Accepted Answer

$$\frac{x^2}{4y}$$

Answer

$$4x^2y$$

Answer

$$\frac{x^2y}{4}$$

Answer

$$\frac{4}{x^2y}$$

Question 19

Simplify the following
(no negative exponents):
$$\frac{-48c^2d^4}{8cd}$$

Accepted Answer

$$-6cd^3$$

Answer

$$-40cd^3$$

Answer

$$-40c^3d^5$$

Answer

$$\frac{c^3d^5}{6}$$

Question 20

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

Accepted Answer

$$3x$$

Answer

$$3x^2$$

Answer

$$9x$$

Answer

$$6x$$

Question 21

$$\frac{45x^6y^2}{5x^4y^9}$$

Accepted Answer

$$\frac{9x^2}{y^7}$$

Answer

$$40x^2y^7$$

Answer

$$9x^2y^7$$

Answer

$$9x^{10}y^{11}$$

Question 22

$$\frac{2xy^4}{4xy^3\cdot4x^2y^5}$$

Accepted Answer

$$\frac{1}{8x^2y^4}$$

Answer

$$8x^2y^4$$

Answer

$$\frac{x^2}{8y^4}$$

Answer

$$\frac{y^4}{8x^2}$$

Question 23

Which expression listed below is equivalent to $$\frac{48x^7y^5z}{6x^2y^4z}$$

Accepted Answer

$$8x^5y$$

Answer

$$8x^5yz$$

Answer

$$42x^5yz$$

Answer

$$42x^5y$$

Question 24

Simplify the following
(no negative exponents):

$$\frac{2x^4y^7}{-10x^3y^9}$$

Accepted Answer

$$\frac{-1x}{5y^2}$$

Answer

$$\frac{-8x}{y^2}$$

Answer

$$-\frac{20x}{y^2}$$

Answer

$$\frac{-20x^7}{y^2}$$

Exponent Review

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