Question

Simplify (2x^3)^-3. without negative exponents

Answer 1

(2x³)⁻³ = (1/8x⁹)

Step-by-step explanation

The laws of indices will be used to solve this. The two important laws are

- When a variable carries a power and is raised to an extra power, the answer is the variable carrying the product of these two powers.

- When a variable is raised to the power of a negative number, this is the same as 1 over that variable raised to the positive value of that power

`\begin{gathered} (2x^3)^(-3) \\ =(2^(-3))*(x^3_{})^(-3) \\ =((1)/(2^3))*(x^(3*-3)) \\ =(1)/(8)*(x^(-9)) \\ =(1)/(8)*(1)/(x^9) \\ =(1)/(8x^9) \end{gathered}`

Hope this Helps!!!