How do you simplify $\frac{{(- 10)}^{5}}{{(- 10)}^{9}}$ $(-10)^5/ (-10)^9$ leaving only positive exponents?

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Answer 1 · 2018-03-15T12:30:52

$\frac{1}{10000} = \frac{1}{10^{4}}$ $1/10000 = 1/10^4$

Expression $= \frac{{(- 10)}^{5}}{{(- 10)}^{9}}$ $= (-10)^5/((-10)^9$

$= {(- 10)}^{5 - 9}$ $= (-10)^(5-9)$

$= {(- 10)}^{- 4}$ $= (-10)^(-4)$

$= \frac{1}{{(- 10)}^{4}} = \frac{1}{10000} = \frac{1}{10^{4}}$ $= 1/(-10)^4 = 1/10000 = 1/10^4$

Answer 2 · 2018-03-15T12:39:05

$\frac{1}{10^4}$ $1/"10^4"$

NOTE THE NEGATIVES DO NOT CANCEL OUT. I'M WRONG.
$\frac{10^{5}}{10^9}$ $10^5/"10^9"$

Now you just subtract the larger degree from the smaller degree
Larger Degree is: $10^{9}$ $10^9$
Smaller Degree is: $10^{5}$ $10^5$

So $9 - 5 = 4$ $9-5=4$

Giving us
$\frac{10^{0}}{10^4}$ $10^0/"10^4"$

And anything to the '0' power gives us 1.

So the answer is
$\frac{1}{10^4}$ $1/"10^4"$ in positive exponents.

How do you simplify (-10)^5/ (-10)^9(−10)5(−10)9(-10)^5/ (-10)^9 leaving only positive exponents?