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

All of the x's are exponents

Answer 2

@vishweshshrimali5

Answer 3

Also the 4x is an exponent

Answer 4

Okay.. so \(600(1.004274)^{4x}\)

Answer 5

yes

Answer 6

Okay.. recall the exponents law...

\(x^{mn} = (x^m)^n\)

Answer 7

So you can write 4x = 4 * x... any ideas what we can do next?

Answer 8

Im not really sure I don't think I remember learning this yet

Answer 9

We learn something new every day ;) ... So, let me give you another example...

Answer 10

Suppose I want to write...\(2^{3x}\) in terms of exponent x only

Answer 11

ok

Answer 12

Now, I apply the exponents law...

\(2^{3x} = 2^{3*x} = (2^3)^x\)

Clear so far?

Answer 13

would it be (2^3) ^x

Answer 14

Yeps!! Perfect

Answer 15

So, now, what is 2^3

Answer 16

great

Answer 17

8

Answer 18

Perfect! So we get \(8^x\)

Answer 19

ok

Answer 20

Now, can you solve your problem ?

Answer 21

let me try it will probably take about 5 minutes

Answer 22

No problem... take your time

Answer 23

would it be the first one?

Answer 24

No. You've multiplied. That 4 is an exponent, not a multiplicand.

Answer 25

oh so it would be the last one

Answer 26

because you multiply the number in the parenthesis by itself 4 times

Answer 27

Perfect!!

Answer 28

Thank you soooo much. I am not that great at math but your helping me understand it a lot better.

Answer 29

I just have one more problem that I don't understand do you think you can help me with this last one?

Answer 30

:) Glad to be of help