Question

Write the number ‘fourth power of fifth root of 27’ in the form of rational indices.​

Answer 1

Answer:

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Answer 2

Given data: fourth power of fifth root of 27

To find: Form of rational indices.

Solution:

• Rational indices are define as the fraction of numbers.
• For example,$\sqrt{2}$ will be written as $2^{\frac{1}{2}$.
• The given data is fourth power of fifth root of 27. In this case fifth root of 27 can be written as $\sqrt[5]{27}=(27)^\frac{1}{5}$.
• Hence the form of rational indices of fourth power of fifth root of 27 is $\sqrt[5]{27^{4} } =27^\frac{4}{5}$.