How to simplify: ((m^(-2/3))^(-1/6)
To simplify the expression ((m^(-2/3))^(-1/6)), we'll use the exponent properties.
Let's break down the steps:
Step 1: Start by applying the power of a power rule, which states that when you have an exponent raised to another exponent, you can multiply the exponents. In this case, we multiply the exponents (-2/3) and (-1/6).
((-2/3) * (-1/6))
Step 2: Multiply the numerators and denominators of the exponents:
(-2 * -1) / (3 * 6)
Step 3: Simplify the expression:
(2 / 18)
Step 4: Further simplify the fraction:
1 / 9
So, the simplified expression for ((m^(-2/3))^(-1/6)) is 1/9.