Question

The expression 600(1.004274)4x shows the quarterly interest rate Markey earns after x years. Which expression shows the x isolated in the exponent in an equivalent form?

600(4.017096)x
600(0.251069)x
600(1.001067)x
600(1.017206)x

Answer 1

Fairy: Not to be overly critical, but I must tell you your exponentiation needs to be expressed properly.

"The expression \[600(1.004274)^{4x}\] shows the quarterly interest rate Markey earns after x years. Which expression shows the x isolated in the exponent in an equivalent form?

600(4.017096)x \[600(1.004274)^{4x}\]
600(0.251069)x
600(1.001067)x
600(1.017206)x"

Answer 2

600(4.017096)x should be \[ 600(4.017096)^x\]... and so on.

Answer 3

Try this: 1.004274)^4. Note that this is NOT multiplication (wolf, please take note), but rather exponentiation.

Answer 4

Wouldn't the equation be written as
600*(1.004274)^4*x
With the "x" NOT being in the exponent?

Answer 5

Wolf: No. (a)^(4x) = (a^4)^x. Try it.

Answer 6

Okay

Answer 7

Sorryyyyy I have a new computer and i keep on forgetting how to do it.

Answer 8

I'll make sure to figure it out but can anyone help me with this problem?

Answer 9

I just need help on how to do it and how you know the answer

Answer 10

You need to know the laws of exponents. Here they are: https://www.mathsisfun.com/algebra/exponent-laws.html

Answer 11

THANKS!!!

Answer 12

600(1.004274)4x should be \[600(1.004274)^{4x}\], or

Answer 13

Rewrite this as \[600~~[(1.004274)^4]~^x)\]

Answer 14

Evaluate: (1.004274)^4
Then write your result with "x" as your exponent. Multiply that by 600. Done.