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GED Math · Drill 10.11

Fractional exponents: 1/2, 1/3, 3/2

Family 10: Exponents, roots, and scientific notation

Practice this without a calculator

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Worked examples

Two examples

Example 1

161/2 =
  1. An exponent of 12 means the square root: √16.

Answer: 4

Example 2

43/2 =
  1. The bottom of the fraction is the root, the top is the power.
  2. The square root first: √4 = 2. Then cube it: 23 = 8.

Answer: 8

Where this is taught: Quiz 31a: Fractional Exponents, “The top of the fraction: a power on top of a root”

The drill

Ten problems

How many:

Type each answer, then press Check my answers at the bottom. Commas in large numbers are fine.Write each answer on the line. The answer key, with the reasoning, is on the last page.

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