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11 grade maths others

How do you simplify (125)^{1/3}?

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9 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer9 Months ago

To simplify \( (125)^{1/3} \), you need to find the cube root of 125. This means you are looking for a number that, when multiplied by itself three times, equals 125.

Finding the Cube Root

First, let's break down 125:

  • 125 can be expressed as \( 5 \times 5 \times 5 \) or \( 5^3 \).

Calculating the Cube Root

Since \( 125 = 5^3 \), taking the cube root gives:

(125)^{1/3} = (5^3)^{1/3} = 5

Final Result

Thus, the simplified form of \( (125)^{1/3} \) is 5.

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