Question

how would I get this one into exponential standard form:
2/(1.5^((x/3)-3))

Answer 1

i got to 2 ((1.5^3)/(1.5^(x/3)))

Answer 2

I don't know if I did this correct

Answer 3

You are on the right track but you could simplify it more, so you can get it to the form ab^x
remember that 1.5^(x/3) can be written as 1.5^(1/3*x), which can further be written as ((1.5)^(1/3))^x. Then you can simplify further

Answer 4

ty

Answer 5

what do you do after that?

Answer 6

So you said you got 2 times (1.5^3)/((1.5^(1/3))^x)

\(\frac{2\left(1.5^{3}\right)}{\left(1.5^{\frac{1}{3}}\right)^{x}}\)

you can simplify the numerator using your calculator to 6.75, and then move the bottom denominator to the numerator by taking the negative exponent

\(6.75\left(1.5^{\frac{1}{3}}\right)^{-x}\)

You can use your exponent rules to make it

\(6.75\left(1.5^{-\frac{1}{3}}\right)^{x}\)

\(6.75\left(\frac{1}{1.5^{\frac{1}{3}}}\right)^{x}\)

Use your calculator to evaluate the \(\frac{1}{1.5^{\frac{1}{3}}}\) to a basic decimal

then you should get something in the form of ab^x

Answer 7

thanks

Answer 8

I understand it

Answer 9

That's good bro, keep it up. You're welcome (: