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How do you simplify 125^(2/3)?

Sagot :

The simplest form of expression 125^(2/3) is 25.

This expression can be solved using exponents. Exponent means a quantity, describing the power to which base number is raised. In other words , Exponent refers to the number of times a number is used in a multiplication. The 4 types of exponents are: positive, negative, zero, and rational. Positive exponents tell you how many times to multiply a base by itself.

In order to solve this expression , we use properties of exponents.

Hence , using the property - [tex]x^{m} x^{n} = x^{mn}[/tex]

and rewriting 125 as cube of 5

i.e. [tex]125=5^{3}[/tex]

→ [tex](5^{3})^{2/3}[/tex]

Now , cancelling the 3s

→ [tex]5^{2}[/tex] = 25

Therefore the answer after simplification is 25.

To know more about exponents, go to https://brainly.com/question/5497425

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