Question

Radical form of 27 × 1 by 5​

Answer 1

Step-by-step explanation:

For this case we have to define properties of powers and roots that:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

n

a

m

=a

n

m

So, if we have the following expression:

27 ^ {\frac {1} {5}}27

5

1

We can rewrite it as:

\sqrt [5] {27 ^ 1} = \sqrt [5] {27}

5

27

1

= ⁵√27

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Answer 2

Answer:The radical form of $27^{\frac{1}{5} }$ is$\sqrt[5]{27}$.

Step-by-step explanation:

Given: We have given $27^{\frac{1}{5} }$

To find: We have to find the radical form of $27^{\frac{1}{5} }$

Explanation:

Step 2: To find the radical form of the given exponential term $27^{\frac{1}{5} }$ we exponential rule which is given by,

                                   $x^{\frac{m}{n} }$ $= \sqrt[n]{x^{m} }$

                       where $x=27,m=1$ and $n=5$

Step 2: SUBSTITUTING THE given values in above equation, we have,

                                   $27^{\frac{1}{5} } =$ $\sqrt[5]{27}$

Hence the radical form of $27^{\frac{1}{5} }$ is$\sqrt[5]{27}$.

Concept:A radical is the opposite of an exponent that is represented with a symbol '√' also known as root. It can either be a square root or a cube root and the number before the symbol or radical is considered to be an index number or degree. This number is a whole number represented as an exponent that cancels out the radical.

The symbol '√' that expresses a root of a number is known as radical and is read as x radical root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree. Some examples of radicals are √7,$\sqrt{2y+1}$, etc.

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