Question

Which of the following is an equivalent expression to 6 · (1 + 0.40)^2x?

6 · (2.8)^x
6 · (1.96)^x
36 · (1.4)^x
12 · (1.4)^x

Answer 1

The answer is b) 6 • (1.96)^x

Answer 2

B) 6 · (1.96)^x

working:

`\sf \rightarrow 6 * (1 + 0.40)^(2x)`

simplify

`\sf \rightarrow 6 * (1.4)^(2x)`

make it such:
`a^(bc) = (a^b)^c`

`\sf \rightarrow 6 * (1.9^2)^(x)`

`\sf \rightarrow 6 * (1.9 * 1.9)^(x)`

evaluate

`\sf \rightarrow 6 * (1.96)^(x)`