How do I simplify this without negative or zero exponents?

5^-1(3^-2 X 2^-3)^0

I got to 1/5(1/72)^0....

Well here were my steps....

1/5 ( 1/9 X 1/8 )^0

then 1/5(1/72)^0....

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- October 28th 2007, 10:21 AMDunit0001Zero and negative exponents????
How do I simplify this without negative or zero exponents?

5^-1(3^-2 X 2^-3)^0

I got to 1/5(1/72)^0....

Well here were my steps....

1/5 ( 1/9 X 1/8 )^0

then 1/5(1/72)^0.... - October 28th 2007, 10:55 AMGeometor
anything to the power 0 = 1!

and to clarify on negative exponents

lets take 2^-1 for example

2^-1 = 2^0 / 2^1 = 2^0-1(yes?)

and since anything to the power 0 = 1

2^0 / 2^1 = 1/2

you can take it from here