Short answer: simplify the following expression,and rewrite it in an equivalent form with positive exponents. (9x^-3)^3
9^3 x^-9
9^3/x9
or (9/x3)3
To simplify the expression (9x^-3)^3 and rewrite it in an equivalent form with positive exponents, we'll follow these steps:
Step 1: Apply the exponent to the base inside the parentheses.
(9x^-3)^3 = 9^3 * (x^-3)^3
Step 2: Simplify the exponent of the base, 9.
9^3 = 729
Step 3: Simplify the exponent of the base, x.
(x^-3)^3 = x^(-3*3) = x^-9
Step 4: Rewrite the expression in an equivalent form with positive exponents.
9^3 * (x^-3)^3 = 729 * x^-9
Final Answer: The simplified expression with positive exponents is 729x^-9.