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C2: Simplifying indices?

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OP

Original post by Zacken

That is very correct, to see why, remember that you can write x^3 as x^(-3)

\displaystyle \frac{8x^7}{4x^3} = \frac{8}{4} \times \frac{x^7}{x^3} = 2 \times x^7 \times x^{-3}

now because they are the same base (x), you can add the powers 7 + -3 = 4 so

2 \times x^3 = 2x^3

.

Dont you mean 2x^4? Also, for the first part arent x^3 and x^-3 different things (how does it explain why?). X^-3 is 1/x^3

Original post by kiiten

Dont you mean 2x^4? Also, for the first part arent x^3 and x^-3 different things (how does it explain why?). X^-3 is 1/x^3

I do mean 2x^4, sorry.

\displaystyle \frac{1}{a^b} = a^{-b}

- do you know this rule?

OP

Original post by Zacken

I do mean 2x^4, sorry.

\displaystyle \frac{1}{a^b} = a^{-b}

- do you know this rule?

Ahh right. Yes, i know it but i meant that a power with a - in front would give a different answer to the same power but + (you said they are the same thing?). If that makes any sense?

Original post by kiiten

Ahh right. Yes, i know it but i meant that a power with a - in front would give a different answer to the same power but + (you said they are the same thing?). If that makes any sense?

I'm not sure I understand what you're saying.

If you have

\displaystyle \frac{x^a}{x^b} = x^a \times x^{-b} = x^{a-b}

OP

Original post by Zacken

remember that you can write x^3 as x^(-3)

I understand what you're saying. Its just this part which confused me.

(edited 8 years ago)

Original post by kiiten

I understand what you're saying. Its just this lart which confused me.

Ohhh, I'm so sorry! I meant you can write 1/x^3 as x^(-3)

Original post by Zacken

Ohhh, I'm so sorry! I meant you can write 1/x^3 as x^(-3)

Should've stuck with the English Lit idea mate :naughty:

:naughty:

Original post by C0pper

Should've stuck with the English Lit idea mate :naughty:

:naughty:

How dare you insult Zacken?

Original post by TeeEm

How dare you insult Zacken?

I wouldn't have to if he were more careful with what he writes :tongue:

:tongue:

OP

Original post by Zacken

Ohhh, I'm so sorry! I meant you can write 1/x^3 as x^(-3)

Ahh i thought so! Thats what i was trying to say earlier but i think i confused you. Thanks so much for your help though :yep:

:yep:

Original post by Zacken

Great! How would you do this question:

\displaystyle \frac{3^5 \times 5^6}{15^5}

:smile:

[br]15^{p} = 3^{p} 5^{p}[br]

Please tell me you didn't ask that

Original post by TeeEm

How dare you insult Zacken?

??

Original post by GeologyMaths

??

It a joke for clever people ...

Original post by TeeEm

It a joke for clever people ...

:rofl:

:rofl:

Wrecked me. :rofl:

:rofl:

:rofl:

Original post by Zacken

:rofl:

:rofl:

Wrecked me. :rofl:

:rofl:

:rofl:

as they say "every dog has its day"

Original post by kiiten

Ahh i thought so! Thats what i was trying to say earlier but i think i confused you. Thanks so much for your help though :yep:

:yep:

Apologies again, should have realised what you were saying. Next time, bold my mistake and throw it in my face. :rofl:

:rofl:

Glad I helped!

OP

Original post by TeeEm

It a joke for clever people ...

What is the picture supposed to mean anyway?

OP

Original post by Zacken

Apologies again, should have realised what you were saying. Next time, bold my mistake and throw it in my face. :rofl:

:rofl:

Glad I helped!

Haha ok

:yes:

Original post by kiiten

What is the picture supposed to mean anyway?

I beg you pardon?

OP

Original post by TeeEm

I beg you pardon?

Im serious, is this like some inside joke or something?

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