%5E2.jpeg "(7m^-2m^2n)^2")
Simplifying the Expression: (7m^-2m^2n)^2
This expression involves exponents, multiplication, and negative exponents. Let's break down the simplification process step-by-step.
1. Combining like terms within the parentheses:
- m^-2 * m^2 = m^( -2 + 2) = m^0 = 1 (Remember: Any number raised to the power of 0 equals 1)
- Therefore, (7m^-2m^2n) becomes (7 * 1 * n) = 7n
2. Applying the exponent to the simplified term:
- (7n)^2 = 7^2 * n^2 = 49n^2
Final answer:
The simplified expression of (7m^-2m^2n)^2 is 49n^2.