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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? He did not multiply Three-fifths by 2 before applying the power. He did not apply the power to the denominator of Three-fifths. He did not evaluate 33 correctly. He did not multiply StartFraction 27 Over 5 EndFraction by 2 correctly.

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Answer:

Jim's error is " He did not multiply Three-fifths by 2 before applying the power "

Step-by-step explanation:

Jim's evaluating expression is [tex]2(\frac{3}{5})^3[/tex]

To verify Jim's error :

Jim's steps are

[tex]2(\frac{3}{5})^3[/tex]

[tex]=2(\frac{3^3}{5})[/tex]

[tex]=2(\frac{3\times 3\times 3}{5})[/tex]

[tex]=2(\frac{27}{5})[/tex]

[tex]=\frac{54}{5}[/tex]

Therefore [tex]2(\frac{3}{5})^3=\frac{54}{5}[/tex]

Jim's error is " He did not multiply Three-fifths by 2 before applying the power "

That is the corrected steps are

[tex]2(\frac{3}{5})^3[/tex]

[tex]=2(\frac{3^3}{5^3})[/tex]  ( using the property [tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex] )

[tex]=2(\frac{3\times 3\times 3}{5\times 5\times 5})[/tex]

[tex]=2(\frac{27}{125})[/tex]

[tex]=\frac{54}{125}[/tex]

[tex]2(\frac{3}{5})^3=\frac{54}{125}[/tex]

emiyend

Answer:

I think its B

Step-by-step explanation:

I'm taking the quiz rn so I'll let u know if its right or wrong :)