Mathematics
11 Online
OpenStudy (anonymous):
Help :/
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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?
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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.
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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):
\[10a ^{3}b ^{2}c ^{7}\over 5a ^{5}bc ^{7}\]\[= \frac{10}{5}(a^{3-5}b^{2-1}c^{7-7})\]\[=2(a^{-2}b^1c^0)\]\[=\frac{2b}{a^2}\]
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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)
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OpenStudy (anonymous):
but b in the denominator had no exponent
OpenStudy (anonymous):
okay! Thanks!!