Question

If (5/9)^(-4)×(5/9)^8=(9/5)^x, find value of x.
a.4
b.8
c. -32
d. -4​

Answer 1

$\large \bold{( \frac{5}{9} )^{(-4)}×( \frac{5}{9} )^8=( \frac{9}{5} )^x}$

$\implies \large \bold{( \frac{5}{9} )^{(-4)}×( \frac{5}{9} )^8=( \frac{5}{9} )^{ - x}}$

$\implies \large \bold{( \frac{5}{9} )^{(-4+ 8)}=( \frac{5}{9} )^{ - x}}$

$\implies \large \bold{( \frac{5}{9} )^{4}=( \frac{5}{9} )^{ - x}}$

$\implies \large \bold{4 = - x}$

$\implies \large \boxed {\bold{x = - 4}}$

Answer 2

Answer:

x=-4

Step-by-step explanation:

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