Question

Which expression is equivalent to (25−−√3)14 ? 2220 234 2512 2125

Answer 1

Answer:

2 ^12 /5  

is the answer.

Answer 2

Following are the complete solution to the given expression:

Given:

$\to \bold{(\sqrt[3]{2^5})^{\frac{1}{4}}}$

To find:

value=?

Solution:

$\to \bold{(\sqrt[3]{2^5})^{\frac{1}{4}}}$

Using formula:

$\therefore \\\\\to\bold{\sqrt[n]{a}=a^{\frac{1}{n}}}\\\\\to\bold{(a^m)^n=a^{m \cdot n}}$

$\to (\sqrt[3]{2^5})^{\frac{1}{4}}\\\\\to [(2^{5})^{\frac{1}{3}}]^{\frac{1}{4}}\\\\\to 2^{5}\times \frac{1}{3}\times \frac{1}{4}\\\\\to 2^\frac{5}{12}$

Therefore, the final answer is "$\bold{2^{\frac{5}{12}}}$".

Note:

In this question, some of the data is missing and its complete question is defined in the attached file, please find it.

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