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? 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.

Answer 1

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

To verify Jim's error :

Jim's steps are

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

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

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

$=2(\frac{27}{5})$

$=\frac{54}{5}$

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

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

That is the corrected steps are

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

$=2(\frac{3^3}{5^3})$  ( using the property $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

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

$=2(\frac{27}{125})$

$=\frac{54}{125}$

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

Answer 2

Answer:

the first option, he did not multiply 3/5 by 2 before applying the power.

Step-by-step explanation:

took the unit test