Question

25 POINTS HELP ME ASAPPPPPPPPPPPPPPPP!!!!!!

Answer 1

Answer:

1/6?

Let's do it...

( (3^(3/4))/(3^(3/8)) )^4/9

According to indices rules here the denominator and numerator has the same base and they are dividing so the powers will subtract..... Its just a formulae not rocket science so don't freak out.

So ( 3^(3/4 - 3/8)) ^4/9

= ( 3^(3/8)) ^4/9

Again with indices rule the powers will multiply

Which will return us 3^1/6 which corresponds 3^x..... Hence x =1/6

Thank you

Answer 2

Answer :

$\boxed{ \boxed{x = \frac{1}{6} }}$

Solution :

$\hookrightarrow \: {\bigg( \dfrac{3 {}^{ \frac{3}{4} } }{ {3}^{ \frac{3}{8} } } \bigg) }^{ \frac{4}{9} }$

$\hookrightarrow \: {(3 {}^{ \frac{3}{4} } \div 3 {}^{ \frac{3}{8} } ) } ^{ \frac{4}{9} }$

$\hookrightarrow \: {(3 {}^{ \frac{3}{4} - \frac{3}{8} } ) }^{ \frac{4}{9} }$

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

$\hookrightarrow \: 3 {}^{ \frac{3}{8} \times \frac{4}{9} }$

$\hookrightarrow \: {3}^{ \frac{1}{6} }$

therefore,

the required value of x is 1/6