How do you simplify (125)^{1/3}?
How do you simplify (125)^{1/3}?
Aniket Singh , 8 Months ago
Grade
11 grade maths others> How do you simplify (125)^{1/3}?...
1 AnswersAskiitians Tutor Team
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.
Approved Last Activity: 8 Months ago
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