Question

Jim's work evaluating 2 (three-fifths) cubed is shown below. 2 (three-fifths) cubed = 2 (StartFraction 3 cubed Over 5 EndFraction) = 2 (StartFraction 3 times 3 times 3 Over 5 EndFraction) = 2 (StartFraction 27 Over 5 EndFraction) = StartFraction 54 Over 5 EndFraction Which statement best describe Jim's first error?

Answer 1

Answer:

He did not apply the power of the exponent to the denominator

Step-by-step explanation:

What ever you do to the top you have to do to the bottom and he only had the exponent on the top.

Answer 2

Answer:

$2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})$ and not $2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5})$

Step-by-step explanation:

Jim's work evaluating $2(\frac{3}{5}) ^{3}$ is shown:

$2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5})=2(\frac{3X3X3}{5})=2(\frac{27}{5})=\frac{54}{5}$

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.

$2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})$

The correct workings therefore is:

$2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})=2(\frac{3X3X3}{5X5X5})=2(\frac{27}{125})=\frac{54}{125}$