Rational Exponents
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Algebra Quiz Time
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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
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A cube has a volume of 64 cubic inches.
What is the length of one edge expressed as
64¹∕³?
a) 4 b) 5
c) 13 d) 6
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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
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A cube's side length is given by 125¹∕³.
What is the side length?
a) 5 b) 6
c) 4 d) 7
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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?
a) 10 b) 9
c) 11 d) 8
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A car's speed follows the formula 343¹∕².
What is the approximate speed?
a) 18.52 b) 20
c) 16 d) 22
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A town’s population follows the equation
100³∕². What is the population?
a) 1000 b) 1200
c) 800 d) 900
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A tree grows in height following the formula
h = 16¹∕⁴. What is the height?
a) 2.52 b) 3
c) 2 d) 4
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The radius of a sphere is given by 729¹∕³.
What is the radius?
a) 9 b) 8
c) 10 d) 7
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The length of a cube’s diagonal is given by
512¹∕³. What is the length?
a) 8 b) 6
c) 10 d) 12
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Scan and solve all rational exponents problems
https://www.algebraly.com/worksheets/rational-exponents-worksheet/