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Anit [1.1K]
3 years ago
7

Simplify the following expression 5-⁵/2 x 5⁹/2

Mathematics
1 answer:
yarga [219]3 years ago
7 0

Given:

Consider the given expression is

5^{-\frac{5}{2}}\times 5^{\frac{9}{2}}

To find:

The simplified form of the given expression.

Solution:

We have,

5^{-\frac{5}{2}}\times 5^{\frac{9}{2}}

Using properties of exponents, we get

=5^{-\frac{5}{2}+\frac{9}{2}}           [\because a^ma^n=a^{m+n}]

=5^{\frac{-5+9}{2}}

=5^{\frac{4}{2}}

=5^{2}

=25

Therefore, the simplified form of given expression is 25.

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