Question

25 POINTS HELP ME ASAPPPPPPPPPPPPPPPP!!!!!!

Answer 1

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

`\boxed{ \boxed{x = (1)/(6) }}`

Solution :

`\hookrightarrow \: {\bigg( \frac{3 {}^{ (3)/(4) } }{ {3}^{ (3)/(8) } } \bigg) }^{ (4)/(9) }`

`\hookrightarrow \: {(3 {}^{ (3)/(4) } / 3 {}^{ (3)/(8) } ) } ^{ (4)/(9) }`

`\hookrightarrow \: {(3 {}^{ (3)/(4) - (3)/(8) } ) }^{ (4)/(9) }`

`\hookrightarrow \:{ (3 {}^{ (3)/(8) } ) }^{ (4)/(9) }`

`\hookrightarrow \: 3 {}^{ (3)/(8) * (4)/(9) }`

`\hookrightarrow \: {3}^{ (1)/(6) }`

therefore,

the required value of x is 1/6