Question

Jim’s work evaluating 2(3/5)^3 is shown below.

2(3/5)^3 = 2(3^3/5)
=2(3*3*3/5)
=2(27/5)
= 54/5

Which statement best describe Jim’s first error?

a: He did not multiply 3/5 by 2 before applying the power.
b: He did not apply the power to the denominator of 3/5
c: He did not evaluate 3^3 correctly.
d: He did not multiply 27/5 by 2 correctly.

Answer 1

Option b.

Explanation:

we have

`2((3)/(5))^(3)`

Evaluate

`2((3)/(5))^(3)=2((3^(3))/(5^(3)))\\ \\=2((27)/(125))\\ \\=(54)/(125)`

therefore

He did not apply the power to the denominator of 3/5