Question

I’ve posted this a lot already and i keep getting it wrong can you help pls?

Answer 1

Answer: See below; x=1/6

Step-by-step explanation:

This problem may seem intimidating, but all you need to know are your exponent rules. Let's first work inside the parenthesis. Since the bases are the same, we can directly subtract the exponents.

$\frac{3}{4} -\frac{3}{8}$                             [common denominator]

$\frac{6}{8} -\frac{3}{8}$                             [subtract]

$\frac{3}{8}$

Now, our new answer is $(3^\frac{3}{8} )^\frac{4}{9}$.

Unfortunately, the answer is asking for an exponent with a single base. One of the properties is when the exponents are separated by parenthesis, you multiply them together.

$\frac{3}{8} *\frac{4}{9}$                              [cross cancel to simplify]

$\frac{1}{2} *\frac{1}{3}$                              [multiply]        

$\frac{1}{6}$

Our final answer is $3^\frac{1}{6}$.

The value is x is $\frac{1}{6}$ since $3^\frac{1}{6}$ is equal to $3^x$, we know that $x=\frac{1}{6}$.