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For what value of a does (1/9)a+1 =81a+1 272-a?
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For what value of a does (1/9)a+1 =81a+1 272-a?

For what value of a does (1/9)a+1 =81a+1 272-a?-example-1
User AbdurJ
by
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2 Answers

5 votes

Answer:

A. -4

Explanation:

User Ronen Ness
by
4.2k points
1 vote

Answer:

-4

Explanation:


\left( (1)/(9)\right)^(a+1)= 81^(a+1)\cdot 27^(2-a)\\\\\\(3^(-2))^(a+1)=(3^4)^(a+1)\cdot (3^3)^(2-a) \\\\\\3^(-2a-2)=3^(4a+4)\cdot 3^(6-3a) \\\\\\3^(-2a-2)=3^(a+10) \\\\\\-2a-2=a+10 \\\\\\-3a=12 \\\\\\a=-4

Hope this helps!

User Bgiles
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