Problem

b) $\left(\frac{-64}{27}\right)^{-\frac{1}{3}}=$

Solution

Step 1 :Find the cube root of the given fraction: \(\sqrt[3]{\frac{-64}{27}}\)

Step 2 :Calculate the cube root: \(\frac{-4}{3}\)

Step 3 :Take the reciprocal of the result since the exponent is -1/3: \(\left(\frac{-4}{3}\right)^{-1}\)

Step 4 :Calculate the reciprocal: \(\frac{3}{-4}\)

Step 5 :\(\boxed{\frac{-3}{4}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/35289/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download