The given expression is \((fghi)(fghi)^2\). 

This can be simplified using the properties of exponents, specifically the rule that states:

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

Here, we can rewrite the expression as:

\[
(fghi)^1 \cdot (fghi)^2 = (fghi)^{1+2} = (fghi)^3
\]

Thus, the simplified form is:

\[
(fghi)^3
\]

Would you like further details or have any questions?

Here are five related questions:
1. How would you simplify \((abc)(abc)^4\)?
2. What is the general rule for multiplying powers of the same base?
3. How can you simplify \((x^2y^3)(x^2y^3)^2\)?
4. What is the result of \((xyz)(xyz)^5\)?
5. Can you simplify \((pqr)^3(pqr)^2\)?

**Tip:** When multiplying powers with the same base, just add the exponents.

This tutorial explains how to simplify the expression (fghi)(fghi)^2 by applying the laws of exponents. Learn how to use the exponent addition rule to combine powers with the same base, resulting in the simplified form (fghi)^3. Suitable for students in Grades 7-9.

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