Question

(i) Find the value of x for which(4/9)⁴×(4/9)7 =(4/9)² x-1​

Answer 1

Answer:

x=6

i hope my ans is clear

Answer 2

Answer:

$x=1\frac{281}{448}$

Step-by-step explanation:

The Given Equation: $(\frac{4}{9} )^{4} * (\frac{4}{9} )*7 = (\frac{4}{9} )^{2} *x^{-1}$

Or, $(\frac{4}{9} )^{(4+1)} *7= (\frac{4}{9} )^{2} *x^{-1}$

Or, $\frac{(\frac{4}{9} )^{5} *7}{(\frac{4}{9} )^{2} } =x^{-1}$

Or, $(\frac{4}{9} )^{(5-2)} *7 =x^{-1}$

Or, $(\frac{4}{9} )^{(3)} *7 =x^{-1}$

Or, $x^{-1} =(\frac{4}{9} )^{(3)} *7$

Or, $\frac{1}{x} =(\frac{4}{9} )^{(3)} *7$

Or, $\frac{1}{x} =\frac{4^{3} *7}{9^{3} }$

Or, $\frac{1}{x} =\frac{448}{729} }$

Or, $x= \frac{729 }{448}$

Or, $x=1\frac{281}{448}$

Hope you understand the process...

By- Md. Mominur Islam Mahim.