## Simplifying Exponential Expressions: (m^2n^7)^3

In mathematics, we often encounter expressions with exponents. Simplifying these expressions involves understanding the rules of exponents. One such rule states that **when raising a power to another power, you multiply the exponents.** Let's apply this rule to the expression (m^2n^7)^3.

### Breaking Down the Expression

**(m^2n^7)^3**means we are multiplying (m^2n^7) by itself three times.**(m^2n^7) * (m^2n^7) * (m^2n^7)**

### Applying the Rule

Using the rule mentioned earlier, we can simplify this by multiplying the exponents of each variable by the outer exponent (3 in this case):

**m^(2***3) * n^(7*3)

### Final Result

Simplifying further, we get:

**m^6 * n^21**

Therefore, **(m^2n^7)^3 is equivalent to m^6n^21**.

This process demonstrates how to simplify expressions involving exponents by applying the appropriate rules. Remember, understanding these rules is crucial for effectively working with exponents in various mathematical contexts.