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How Do You Simplify (125)-1/3

How do you simplify (125)-⅓? Find the answer to this question and access a vast question bank that is customised for students.

Q. How do you simplify (125)-⅓?

Firstly, we can simplify 125.

125 can be written as the power of 5.

125 = 5 × 5 × 5

125 = (5)³

Now, (125)-⅓ can also be written as,

125 = 5³(-⅓)

125 = 5-3/3    [(xa)b = xab]

=5-¹

= ⅕ 

Hence,

Answer: 125-⅓ = ⅕