To solve the expression \((\frac{3}{8})^5 \times (\frac{8}{3})^5\), we can use the properties of exponents and fractions. 

First, let's rewrite the expression:

\[
\left(\frac{3}{8}\right)^5 \times \left(\frac{8}{3}\right)^5
\]

According to the properties of exponents, we can combine these expressions since they have the same exponent:

\[
\left(\frac{3}{8} \times \frac{8}{3}\right)^5
\]

Next, simplify the expression inside the parentheses:

\[
\frac{3}{8} \times \frac{8}{3} = \frac{3 \times 8}{8 \times 3} = \frac{24}{24} = 1
\]

So, we have:

\[
1^5 = 1
\]

Therefore, the result of the expression is:

\[
1
\]

Would you like any further details or have any questions?

Here are five more math questions you might want to explore:
1. How do you solve quadratic equations?
2. What is the derivative of \(x^3 + 3x^2 + 2x + 1\)?
3. How do you find the area under a curve using integration?
4. What is the value of \(\log_2(32)\)?
5. How do you simplify the expression \(\frac{a^2 - b^2}{a - b}\)?

**Tip:** When dealing with exponents and fractions, remember that combining like terms and simplifying inside the parentheses first can make solving the problem easier.

Discover how to simplify the mathematical expression (3/8)^5 × (8/3)^5 with a detailed step-by-step explanation. Learn about properties of exponents and fraction multiplication. This guide is perfect for students in Grades 6-8 looking to understand basic algebra concepts.

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