Question
•Explain how writing 2x-5 with positive exponents is similar to writing 2x-3/4 with positive exponents. Post a problem involving a rational exponent for your classmates to solve.
Answers
Steve
2x^-5 = 2/x^5
2x^(-3/4) = 2/x^(3/4)
a negative exponent just means shifting the value between numerator and denominator. Note that this also means that
2/x^(-2) = 2x^2
since that is 2 / (1/x^2) = 2 * x^2/1 = 2x^2
2x^(-3/4) = 2/x^(3/4)
a negative exponent just means shifting the value between numerator and denominator. Note that this also means that
2/x^(-2) = 2x^2
since that is 2 / (1/x^2) = 2 * x^2/1 = 2x^2