Math, asked by pramilapradhan2137, 5 hours ago

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

Answers

Answered by xSoyaibImtiazAhmedx
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}}

Answered by Anonymous
1

Answer:

x=-4

Step-by-step explanation:

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