# Thread: HELP !! on Indices and Logarithms

1. ## HELP !! on Indices and Logarithms

Sorry Posted In The Worng Section Delete Please

2. Hello, Tim!

I assume those are exponents (indices) . . .

Q1. Manipulate the following expressions and simplify them using the laws of indices.

$a)\;\;x^2y^{-5}\:=\:x^4y^3$
Since we're given an equation, I'm not sure what "simplify" means . . .

We have: . $x^2y^{-5} \;=\;x^4y^3$

Divide both sides by $x^2\!:\;\;y^{-5} \;=\;x^2y^3$

Multiply both sides by $y^5\!:\;\;1 \;=\;x^2y^8$

So we have: . $x^2y^8 \;=\;1$

. . I suppose that's "simplified" . . .