Question Which of the following is equal to the expression (8x)^-2/3 (27x)¯1/3 1) 1/12x 2) 3/4x 3) 12×3 4) 3/4x

The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x How to evaluate the expression? The expression is given as: (8x)^-2/3 * (27x)^-1/3 Evaluate the exponent 8^-2/3 (8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3 Evaluate the exponent (27x)^-1/3 (8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3 Multiply 1/4 and 1/3 (8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3 Evaluate the exponent (8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3) This gives (8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1) So, we have (8x)^-2/3 * (27x)^-1/3 = 1/12x Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x Read more about equivalent expression at https://brainly.com/question/2972832 #SPJ1 Reply

equivalent expressionof (8x)^-2/3 * (27x)^-1/3 is 1/12x## How to evaluate the expression?

exponent8^-2/3exponent(27x)^-1/3equivalent expressionof (8x)^-2/3 * (27x)^-1/3 is 1/12xequivalent expressionat