Mathematics bill533:

What is the value of x ?

5 months ago bill533:

5 months ago bill533:

@SmokeyBrown

5 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 $$x^{(a(b))}$$)

5 months ago bill533:

is it 9 ?

5 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:$\Large{(3^{\frac{3}{8}})^{\frac{4}{9}}}$

5 months ago kittybasil:

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

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

5 months ago kittybasil:

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

5 months ago bill533:

1/6

5 months ago kittybasil:

Yup :)

5 months ago bill533:

it's 1/6 ?

5 months ago bill533:

https://prnt.sc/l7sij9

5 months ago kittybasil:

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

5 months ago
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