bill533:

What is the value of x ?

2 months ago
bill533:
2 months ago

bill533:

@SmokeyBrown

2 months ago
kittybasil:

Dividing: exponent expressions with the same base?\[\frac{x^a}{x^b}\]Solve by `subtracting your exponents.` (which would be \(x^{(a-b)}\) in this case) Exponent expressions that are raised to another power, such as\[(x^{a})^{b}\] are solved by `multiplying the exponent.` (this one is \(x^{(a(b))}\))

2 months ago
bill533:

is it 9 ?

2 months ago
kittybasil:

part 1: subtracting exponents that are in the division expression (in parentheses) \[\frac{3}{4}-\frac{3}{8}=\frac{3\color{red}{\times2}}{4\color{red}{\times2}}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}=\frac{3}{8}\] Ok, so now you have:\[\Large{(3^{\frac{3}{8}})^{\frac{4}{9}}}\]

2 months ago
kittybasil:

We are going to simplify this by multiplying the exponents together, which follows the rule I mentioned in my first reply.\[\Large{3^{(\frac{3}{8}\cdot\frac{4}{9})}=3^{(\frac{3\times4}{8\times9})}=3^{\frac{12}{72}}}\] 2 months ago

\[\Large{(3^{\frac{3}{8}})^{\frac{4}{9}}}\]

We are going to simplify this by multiplying the exponents together, which follows the rule I mentioned in my first reply.\[\Large{3^{(\frac{3}{8}\cdot\frac{4}{9})}=3^{(\frac{3\times4}{8\times9})}=3^{\frac{12}{72}}}\] 2 months ago

kittybasil:

You can simplify that exponent. What's the simplest form of \(12/72\)? I want you to try and do this :)

2 months ago
bill533:

1/6

2 months ago
kittybasil:

Yup :)

2 months ago
bill533:

it's 1/6 ?

2 months ago
kittybasil:

One question per post please. However, I am sorry but I cannot help you. I have to go soon.

2 months ago