SOLUTION: Please help me with this problem Evaluate and express your answer with only positive exponent 1.(36 a^8b^10)^-1/2

Question 251259: Please help me with this problem
Evaluate and express your answer with only positive exponent
1.(36 a^8b^10)^-1/2

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
equation is:

* means multiplication

That is what I think your equation is.

rules of exponents you will use:

(rule 1)

(rule 2)

(rule 3)

your equation of becomes:

by rule 1, which becomes:

by rule 2, which becomes:

by rule 3, which becomes:

a common mistake is to take something like and only work on and forgetting to work on as well.

making this mistake, you would get .

not making this mistake, you woul get .

that exterior exponent to the expression has to be applied to every term in the expression, including the coefficient of a term.

in the expression , is the coefficient of the term . It is another term in the expression, just like is.

to prove your answer is correct, take any value for a and b and substitute for them in the original and final equation to see that you got the same answer.

let a = 3
let b = 6

use your calculator to solve.

original equation is:

which becomes:

which becomes:

.000000265

final equation is:

which becomes

which becomes:

.000000265

the answers are the same so the original equation has been simplified correctly.

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