Powers and Roots

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

• -4¹

• (-4)⁴

• 4^-2

• (-4)²

Tags

CCSS.6.EE.A.1

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?

• 30.8 feet

• 57.3 feet

• 259.2 feet

• 829.4 feet

Tags

CCSS.6.EE.A.1

CCSS.6.NS.B.3

Evaluate a³-b²+18 if a=4 and b=8

• -3

• -21

• 14

• 18

Tags

CCSS.6.EE.A.2C

Which expression represents 1/9⁶ using a negative exponent?

• -6^-9

• -9^-6

• 9^-6

• 6^-9

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.4

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

• -24

• 1

• 6

• 24

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2

CCSS.6.EE.B.6

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

• -1/5

• 1/5⁹

• 1/5

• 5⁰

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

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

• 1/s⁷

• 8/s⁸

• -s⁷

• -8s⁹

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

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?

• 10^-3

• 10³

• 10⁹

• 10⁹¹⁸

Tags

CCSS.6.EE.A.1

CCSS.6.RP.A.1

CCSS.6.RP.A.3

Which expression is equivalent to b⁵?

• b⁸/b³

• b¹⁰/b²

• b¹⁰/b^-5

• 5/b^-5

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

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?

• 0.0000787

• 0.000787

• 0.00787

• 787,000

Tags

CCSS.6.EE.A.1