# HELP !! on Indices and Logarithms

• October 14th 2007, 06:59 AM
timc
HELP !! on Indices and Logarithms
Sorry Posted In The Worng Section Delete Please
• October 14th 2007, 07:10 AM
Soroban
Hello, Tim!

I assume those are exponents (indices) . . .

Quote:

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" . . .