Quiz about Exponents and Radicals Review

Question 1

Product Rule states: keep the base the same and do this to the exponents.

Accepted Answer

add

Answer

multiply

Answer

subtract

Answer

divide

Question 2

Power Rule states: keep the base the same and do this to the exponents.

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 3

Division Rule states: keep the base the same and do this to the exponents.

Accepted Answer

subtract

Answer

multiply

Answer

add

Answer

divide

Question 4

Simplify
(3x³y⁵)⁴

Accepted Answer

81x¹²y²⁰

Answer

3x¹²y²⁰

Answer

12x¹²y²⁰

Answer

81x7y9

Question 5

Question 5.

Accepted Answer

4x2

Answer

4x8

Answer

9x2

Answer

9x15

Question 6

(4x⁵y²)(6x²y³)

Accepted Answer

24x7y5

Answer

10x¹⁰y⁶

Answer

24x¹⁰y⁶

Answer

10x7y5

Question 7

Simplify: (-3x⁴)(5x²)

Accepted Answer

-15x6

Answer

-15x8

Answer

2x8

Answer

2x6

Question 8

Which is greater, 2654⁰ or 5⁰?

Accepted Answer

They are the same

Answer

26540

Answer

50

Answer

Zero is greater

Question 9

Question 9.

Accepted Answer

Option A is correct

Answer

2x2z4

Answer

3x²y⁵z⁴

Answer

D.

Question 10

$$8v^{-3}$$

Accepted Answer

$$\frac{8}{v^3}$$

Answer

$$8\ \cdot\ -v\ \cdot\ -v\ \cdot\ -v\ $$

Answer

$$\frac{v^3}{-8}$$

Answer

$$-8v^3$$

Question 11

Question 11.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 12

Simplify the expression:

$$\left(a^4b\right)^2\left(a^3b^2\right)^4$$

Accepted Answer

$$a^{20}b^{10}$$

Answer

$$4a^8b$$

Answer

$$a^{13}b^8$$

Answer

$$-2a^8y^7$$

Question 13

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 14

Simplify the following using the properties of exponents.

Accepted Answer

$$\frac{x^3}{64}$$

Answer

$$\frac{64}{x^3}$$

Answer

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

Answer

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

Question 15

Simplify.

Accepted Answer

y¹² / (8x¹⁸)

Answer

(2x^-18) / y⁴

Answer

(2x3) / y

Answer

none of these

Question 16

Simplify: $$3\sqrt{16}$$

Accepted Answer

12

Answer

48

Answer

$$\sqrt{12}$$

Answer

$$3\sqrt{4}$$

Question 17

$$\sqrt{45x^4y^7}$$

Accepted Answer

$$3x²y³\sqrt{5y}$$

Answer

$$3x²y³\sqrt{5}$$

Answer

$$9x²y³\sqrt{5y}$$

Answer

$$3x⁴y⁷$$

Question 18

$$3\sqrt{20}+4\sqrt{5}$$

Accepted Answer

$$10\sqrt{5}$$

Answer

$$16\sqrt{5}$$

Answer

$$7\sqrt{25}$$

Question 19

$$2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$$

Accepted Answer

$$14\sqrt{3}+10\sqrt{2}$$

Answer

$$24\sqrt{3}$$

Answer

$$24\sqrt{3}+5\sqrt{8}$$

Question 20

$$\sqrt{5}\left(3-\sqrt{6}\right)$$

Accepted Answer

$$3\sqrt{5}-\sqrt{30}$$

Answer

$$\sqrt{15}-\sqrt{30}$$

Answer

$$-\sqrt{15}$$

Answer

$$\sqrt{15}-\sqrt{18}$$

Question 21

SIMPLIFY:

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 22

Question 22.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 23

Question 23.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 24

Write 0.000972 in scientific notation.

Accepted Answer

9.72 x 10^-4

Answer

9.72 x 10^-3

Answer

972 x 10^-4

Answer

9.72 x 10⁴

Question 25

Write 2.08 x 10²in standard form.

Accepted Answer

208

Answer

0.0208

Answer

20,800

Answer

0.208

Question 26

How would you write 50,000 in scientific notation?

Accepted Answer

5 x 104

Answer

50 x 105

Answer

5 x 103

Answer

.5 x 103

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