Rational Exponents Quiz: Key Questions for Algebra 1 Mastery

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A square field has an area of 81 square meters. What is the length of one side expressed as 81¹∕²? a) 9 b) 8 c) 10 d) 7

A cube has a volume of 64 cubic inches. What is the length of one edge expressed as 64¹∕³?

4 b) 5 c) 13

A bacteria culture doubles every hour. If there were initially 16 bacteria, what will be the count after 4 hours, expressed as 16 * 2⁴?

a) 256 b) 128 c) 64 d) 32

A cube's side length is given by 125¹∕³.

What is the side length? a) 5 b) 6 c) 4 d) 7

A ball is dropped from a height of 100 meters, and its time to fall is proportional to 100¹∕². What is the time taken?

10

9

11 d) 8

A car's speed follows the formula 343¹∕². What is the approximate speed?

a) 18.52

b) 20 c) 16 d) 22

A town’s population follows the equation 100³∕². What is the population?

a) 1000 b) 1200

c) 800 d) 900

The radius of a sphere is given by 729¹∕³.

What is the radius? a) 9 b) 8 c) 10 d) 7

The length of a cube’s diagonal is given by 512¹∕³. What is the length?

8

10

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