Question

Evaluate the expression. $$\left(\frac{1}{2}\right)^{3}$$

   Evaluate the expression.
$$\left(\frac{1}{2}\right)^{3}$$

Algebra 1

Ron Larson, Laurie… 1st Edition

Chapter 8, Problem 72

Instant Answer

Solved by Expert Amy Jiang

08/29/2020

Step 1

This gives us $(1^{3})/(2^{3})$. Show more…

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Evaluate the expression. $$\left(\frac{1}{2}\right)^{3}$$

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Key Concepts

Exponentiation

Exponentiation is the process of multiplying a number by itself a certain number of times, where the number of multiplications is indicated by the exponent. It allows for the succinct representation of repeated multiplication, such as in a^3 where the base a is multiplied by itself three times.

Power of a Fraction

Raising a fraction to an exponent means applying the exponent to both the numerator and the denominator. This follows the rule (a/b)^n = a^n/b^n, which simplifies the expression by dealing with the numerator and denominator separately.

Multiplication of Fractions

Multiplication of fractions involves multiplying the numerators together and the denominators together. This fundamental operation is crucial when computing powers of fractions, as it involves repeated multiplication of the fraction itself.

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