Quiz about Powers and Roots

Question 1

Which expression is equivalent to (-4)(-4)(-4)(-4)

Accepted Answer

(-4)4

Answer

-41

Answer

4-2

Answer

(-4)2

Question 2

A golf ball is dropped from the top of a cliff. After 9 seconds the ball hits the ground. This distance in feet the ball traveled can be estimated by 3.2(9)². About how far did the ball drop?

Accepted Answer

259.2 feet

Answer

30.8 feet

Answer

57.3 feet

Answer

829.4 feet

Question 3

Evaluate a³-b²+18 if a=4 and b=8

Accepted Answer

18

Answer

-3

Answer

-21

Answer

14

Question 4

Which expression represents 1/9⁶ using a negative exponent?

Accepted Answer

9-6

Answer

-6-9

Answer

-9-6

Answer

6-9

Question 5

What is the value of 6k^-4 if k=-1?

Accepted Answer

6

Answer

-24

Answer

1

Answer

24

Question 6

Which expression is equivalent to (5⁴)(5^-5)?

Accepted Answer

1/5

Answer

-1/5

Answer

1/59

Answer

50

Question 7

Which expression is equivalent to the product of (s^-8)(s)?

Accepted Answer

1/s7

Answer

8/s8

Answer

-s7

Answer

-8s9

Question 8

An astronomer finds that the diameter of asteroid A is roughly 10^-3 kilometers, whereas the diameter of asteroid B is roughly 10⁶ kilometers. About how many times as great is the diameter of asteroid B than asteroid A?

Accepted Answer

109

Answer

10-3

Answer

103

Answer

10918

Question 9

Which expression is equivalent to b⁵?

Accepted Answer

b8/b3

Answer

b10/b2

Answer

b¹⁰/b^-5

Answer

5/b-5

Question 10

Bacteria are among the smallest living things. Some of the largest bacteria measure 7.87 x 10^-5 of an inch across. Which value expresses this number in standard form?

Accepted Answer

0.0000787

Answer

0.000787

Answer

0.00787

Answer

787,000

Question 11

Which number is less than 3.4 x 10^-4

Accepted Answer

3.4 x 10^-6

Answer

3.4 x 10⁶

Answer

35,000

Answer

3.4 x 102

Question 12

Which value for 6,902,500 miles is the best estimate for this distance?

Accepted Answer

7 x 10^{6 miles}

Answer

7 x 10^-6 miles

Answer

70 x 10⁸ miles

Answer

700 x 10² miles

Question 13

The average weight of an African elephant is 1.44 x 10⁴ pounds and that of a white rhinoceros is 7.94 x 10³ pounds. What is the approximate difference in weight of these two animals?

Accepted Answer

6.46 x 10³ pounds

Answer

2.23 x 10⁴ pounds

Answer

6.5 x 10¹ pounds

Answer

9.38 x 10⁷ pounds

Question 14

Find the cubed root of 729.

Accepted Answer

9

Answer

7

Answer

27

Answer

32

Question 15

Find the square root of 126 and round to the nearest tenth.

Accepted Answer

11.2

Answer

11.3

Answer

11.7

Answer

13

Question 16

Between which two consecutive integers does the square root of 87 lie?

Accepted Answer

9 and 10

Answer

8 and 9

Answer

7 and 8

Answer

8 and 10

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