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natita [175]
2 years ago
7

Simplify n^4 divided by n1/2

Mathematics
1 answer:
agasfer [191]2 years ago
5 0

Given:

Consider the expression is

\dfrac{n^4}{n^{\frac{1}{2}}}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{n^4}{n^{\frac{1}{2}}}

Using the properties of exponents, we get

=n^{4-\frac{1}{2}}               \left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]

=n^{\frac{8-1}{2}}

=n^{\frac{7}{2}}

Therefore, the simplified form of the given expression is n^{\frac{7}{2}}.

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