https://file.aiquickdraw.com/mathbot/file/1728514646173fmo8kixv.jpg

The equation presented in the image is:

\[
(5^{\frac{3}{2}})(5^{\frac{5}{2}}) = 5^4
\]

### Step-by-Step Solution:

To simplify the left-hand side, we use the property of exponents:

\[
a^m \cdot a^n = a^{m+n}
\]

In this case, both terms have the same

Simplify the exponential expression: (5^(3/2))(5^(5/2)) = 5^4

Learn how to simplify the exponential expression (5^(3/2))(5^(5/2)) using exponent rules. This problem involves key algebraic concepts and the formula for multiplying exponents with the same base. Suitable for students in Grades 8-10.

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