Question

simplify 125 power 4/3

Answer 1

Answer:

the correct answer is 625

Answer 2

Concept:

The n-th root of the number 'a' can be expressed as $=a^{\frac{1}{n}}$.

Whole function gives the product of the powers.

Mathematical expression is mathematical quantity involving numbers, mathematical variable etc.

Given:

Given that, the mathematical expression is  125 power 4/3.

Find:

We have to find the simplified value or form of the above mentioned given mathematical expression.  

Solution:

Given the initial number is given by = 125

So, the value of 125 power 1/3 is given by,

$125^{1/3}=\sqrt[3]{125}=\sqrt[3]{5^3}=5$

So, now the value of the 125 power 4/3 is given by,

$125^{\frac{4}{3}}=(125^{1/3})^4=5^4=625$

Hence the simplified value of the given mathematical expression 125 power 4/3 is given by 625.

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