SOLUTION: Which expressions are equivalent to the one below? Check all that apply. 81^x a. 9^2*9^x b. 9*9^x c.9^x*9^x d.9^2x e. 9*9^2x f.(9*9)^x Please check all that apply I'm rea

Algebra ->  Expressions-with-variables -> SOLUTION: Which expressions are equivalent to the one below? Check all that apply. 81^x a. 9^2*9^x b. 9*9^x c.9^x*9^x d.9^2x e. 9*9^2x f.(9*9)^x Please check all that apply I'm rea      Log On


   

Question 1035632: Which expressions are equivalent to the one below? Check all that apply.
81^x
a. 9^2*9^x
b. 9*9^x
c.9^x*9^x
d.9^2x
e. 9*9^2x
f.(9*9)^x
Please check all that apply I'm really lost
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Try completely factorizing the starting expression.

Given: 81%5Ex
--
%289%2A9%29%5Ex-----------choice f
%289%5E2%29%5Ex
9%5E%282x%29
9%5E%28x%2A2%29
%289%5Ex%29%289%5Ex%29--------choice c

A certain rule of exponents is used, which goes like %28b%5Ex%29%5Ey=b%5E%28xy%29.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Which expressions are equivalent to the one below? Check all that apply.
81^x
-----
Evaluate each one.
Mutliplying --> adding exponents
a. 9^2*9^x = 9^(x+2) NG
b. 9*9^x = 9^1*9^x = 9^(x+1) NG
c.9^x*9^x = 9^(x+x) = 9^2x
Multiplying exponents --> raising to the power.
= (9^2)^x = 81^x is equal.
----
d.9^2x ... same as c.
----
e. 9*9^2x = 9^(2x+1) NG
f.(9*9)^x = 81^x is equal
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Is that clear? It's important to understand this. It only gets worse.