Answer:
[tex]2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})[/tex] and not [tex]2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5})[/tex]
Step-by-step explanation:
Jim's work evaluating [tex]2(\frac{3}{5}) ^{3}[/tex] is shown:
[tex]2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5})=2(\frac{3X3X3}{5})=2(\frac{27}{5})=\frac{54}{5}[/tex]
If you look at the Second step, the exponent is taken over only the numerator. It should have been taken over both the numerator and denominator as shown below.
[tex]2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})[/tex]
The correct workings therefore is:
[tex]2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})=2(\frac{3X3X3}{5X5X5})=2(\frac{27}{125})=\frac{54}{125}[/tex]
