Which of these is an equivalent expression for x^-3 that uses positive exponents?

Question

A) x^1/3
B)cube root of X
C) 1/x^3
D)1/x^1/3
justify your answers

Answer 1

The equivalent expression for x^-3 that uses positive exponents is option C) 1/x^3.

When we have a negative exponent on a variable or a number, we can rewrite it as the reciprocal of the positive exponent of that variable or number. Therefore, x^-3 can be written as 1/x^3.

Option A) x^1/3 is the cube root of x, which is not equivalent to x^-3.
Option B) The cube root of x is also not equivalent to x^-3.
Option D) 1/x^1/3 is not equivalent to x^-3.