(3/8)(3/8)(3/8)(3/8)(3/8) x (3/8)(3/8)(3/8)(3/8)(3/8)(3/8)(3/8)(3/8)

To solve the expression \(\left(\frac{3}{8}\right)^5 \times \left(\frac{3}{8}\right)^8\), you need to use the properties of exponents. Specifically, when multiplying two powers with the same base, you add the exponents.

The expression can be rewritten as:

\[
\left(\frac{3}{8}\right)^5 \times \left(\frac{3}{8}\right)^8 = \left(\frac{3}{8}\right)^{5+8} = \left(\frac{3}{8}\right)^{13}
\]

So the simplified expression is:

\[
\left(\frac{3}{8}\right)^{13}
\]

Would you like any further details or have any questions?

Here are 5 related questions you might find interesting:
1. What happens when you multiply two fractions together?
2. How do you simplify an expression with different exponents?
3. Can you express \(\left(\frac{3}{8}\right)^{13}\) as a decimal?
4. What is the general rule for multiplying powers with the same base?
5. How do you simplify an expression like \(\left(\frac{3}{8}\right)^a \times \left(\frac{3}{8}\right)^b\) in terms of \(a\) and \(b\)?

**Tip:** When dealing with powers, always remember that multiplying similar bases results in adding the exponents.

Understand how to simplify the expression (3/8)^5 * (3/8)^8 using exponent properties. This problem involves multiplying powers with the same base, adding exponents, and simplifying fractional exponents. Suitable for students in Grades 6-8.

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