How do you simplify #\frac { - 30\times 10^ { - 5} } { - 5\times 10^ { 2} }#?

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Answer 1 · 2017-04-02T16:21:08

Factor and divide out common factors

# 6/10^7#

# -30 xx 10^-5 = -1 xx 5 xx 6 xx 1/10^5 #

# -5 xx 10^2 = -1 xx 5 xx 10^2 #

The common factors of #-1 xx 5# can be divided out leaving

# (6 xx 1/10^5)/ 10^2 # This can be rewritten as

# 6/( 10^5 xx 10^2)#

Which is

# 6/ 10^7 #