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solong [7]
3 years ago
14

Simplify: 4^ sqrt 400/ 4^ sqrt 5 SHOW WORK

Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Given  

The equation is in the form

=\frac{4^{\sqrt{400}}}{4^{\sqrt{5}}}

Simplify the above equation

To proof

As given in the question the equation is written in the form

=\frac{4^{\sqrt{400}}}{4^{\sqrt{5}}}

By using the exponent property

when you divide powers with the same base you just have to subtract the exponents. i.e

\frac{y^{a}}{y^{b}} = y^{a-b}

y is not equal to zero.

Now apply this property to the above equation

=4^{\sqrt{400}- \sqrt{5}}

As

\sqrt{400} = 20

now put this in the above equation

we get

=4^{20- \sqrt{5}}

Hence proved


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