(3/5)^-3 As A Fraction

Jasonbradley

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Jun 16, 2024

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Simplifying (3/5)^-3 as a Fraction

This article will guide you through the process of simplifying the expression (3/5)^-3 as a fraction. We'll use the rules of exponents and fractional powers to achieve this.

Understanding Negative Exponents

A negative exponent indicates the reciprocal of the base raised to the positive value of the exponent. In simpler terms,
x^-n = 1/x^n.

Applying the Rule to Our Expression

1. Rewrite the expression using the negative exponent rule:

   (3/5)^-3 = 1 / (3/5)^3

2. Calculate the cube of the fraction:

   1 / (3/5)^3 = 1 / (27/125)

3. Simplify by dividing by the fraction in the denominator:

   1 / (27/125) = 125/27

Therefore, (3/5)^-3 simplified as a fraction is 125/27.