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Mathematics 12 Online
OpenStudy (anonymous):

Solve for equation below.

OpenStudy (anonymous):

|dw:1350674167781:dw|

OpenStudy (anonymous):

What's the equation?

OpenStudy (anonymous):

I just posted it up.

OpenStudy (anonymous):

Where is the equals sign?

OpenStudy (anonymous):

One second.

OpenStudy (anonymous):

|dw:1350674267593:dw|

OpenStudy (anonymous):

So 28a = 4a^3 ?

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

it means simplify really 14/2a^2

OpenStudy (anonymous):

No equals sign --> no equation to solve. To simplify divide 28 by 4, then divide a by a^3. When dividing powers of the same base, subtract the exponents.

OpenStudy (anonymous):

Um...I'm confused...

OpenStudy (anonymous):

This is just like reducing fractions before you started using variables. If you had 28/4, you could reduce it to just 7. Or if you had 15/10, you can reduce it to 3/2. When you add variables, the variables cancel in a similar way... if you have:\[\frac{ a \times a \times a }{ a }\] you can reduce it by dividing out or cancelling one "a" from the top and bottom to leave just a x a, or in other words, "a squared"

OpenStudy (anonymous):

You have a larger exponent on the bottom.. you have a^3 on the bottom and only "a" on top, so you will end up cancelling the "a" on top with one of the a's that is on the bottom... remember, a^3 is just a * a * a.

OpenStudy (anonymous):

Another example: \[\frac{ a ^{2} }{ a ^{5} } = \frac{ a \times a }{ a \times a \times a \times a \times a } = \frac{ 1 }{ a ^{3} }\]

OpenStudy (anonymous):

Is that making sense now? You essentially just reduce the fraction of numbers and variables by cancelling common number terms on top and bottom and doing the same with the variables.

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