Which of the following is equivalent to (x^5 * y^-3) / (x^-2 * y^4)?
✓ Correct Answer: Option C
Using exponent rules, (a^m / a^n) = a^(m-n) and a^-n = 1/a^n. So, x^(5 - (-2)) * y^(-3 - 4) = x^(5+2) * y^(-7) = x^7 * y^-7 = x^7 / y^7.
Using exponent rules, (a^m / a^n) = a^(m-n) and a^-n = 1/a^n. So, x^(5 - (-2)) * y^(-3 - 4) = x^(5+2) * y^(-7) = x^7 * y^-7 = x^7 / y^7.