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Mathematics 11 Online
OpenStudy (anonymous):

Help :/

OpenStudy (anonymous):

hold on, let me enter the equation.

OpenStudy (anonymous):

\[10a ^{3}b ^{2}c ^{7}/5a ^{5}bc ^{7}\]

OpenStudy (anonymous):

all exponents must be positive.

OpenStudy (anonymous):

2b/(a^3)

OpenStudy (anonymous):

how did you get that?

OpenStudy (anonymous):

sorry, 2b(a^2)

OpenStudy (anonymous):

i mean 2b/(a^2)

OpenStudy (anonymous):

i dont understand :/ how do the exponents come out positive?

OpenStudy (anonymous):

You subtract the exponents in the denominators from the exponents in the numerator.

OpenStudy (anonymous):

If the exponent is negative, you move the factor to the denominator and make it positive.

OpenStudy (anonymous):

use exponent laws

OpenStudy (anonymous):

wait I dont quite get that. If it's negative I do the reciprocal?

OpenStudy (anonymous):

\[a ^{m-n} = a ^{m} / a ^{n}\]

OpenStudy (anonymous):

yeah u do reciprocal since its negative

OpenStudy (anonymous):

\[10a ^{3}b ^{2}c ^{7}\over 5a ^{5}bc ^{7}\]\[= \frac{10}{5}(a^{3-5}b^{2-1}c^{7-7})\]\[=2(a^{-2}b^1c^0)\]\[=\frac{2b}{a^2}\]

OpenStudy (anonymous):

i think I get it! and if there's no exponent to a variable, it's automatically 1?

OpenStudy (anonymous):

Right!

OpenStudy (anonymous):

Because you did b^2-1

OpenStudy (anonymous):

but b in the denominator had no exponent

OpenStudy (anonymous):

yep, and anything with a 0 exponent just goes away (becomes 1)

OpenStudy (anonymous):

but b in the denominator had no exponent

OpenStudy (anonymous):

okay! Thanks!!

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