# Thread: Simplify the follwing algebraic expression by combining indices:

1. ## Simplify the follwing algebraic expression by combining indices:

Any help appreciated....more questions coming probably so please come back to this thread

You have to use the basic rules like:
$\displaystyle a^{x}\cdot a^{y}=a^{x+y}$
$\displaystyle \frac{a^x}{a^y}=a^{x-y}$

Try to use this rules where necessary.

Originally Posted by Siron
You have to use the basic rules like:
$\displaystyle a^{x}\cdot a^{y}=a^{x+y}$
$\displaystyle \frac{a^x}{a^y}=a^{x-y}$

Try to use this rules where necessary.
Hi,

This still doesn't make any sence to me? :S could you explain further or simplify it for me please

when multiplying powers, add the exponents.

when dividing powers, subtract the exponent of the "bottom" from the exponent of the "top".

(the exponents are the things you are calling "indices", which isn't the right name for them).

Ive tried and tried, i still cant do it.. can someone solve it for me please so i can see how to do the rest

If we do it for you, you'll learn nothing. Try it yourself.

$\displaystyle x^a\times~x^b=x^{a+b}$

It's a simple enough rule to apply.

$\displaystyle 3^2\times~3^5=3^{2+5}=3^7$

If you wish to receive further help, then please present an effort.

Originally Posted by Quacky
If we do it for you, you'll learn nothing. Try it yourself.

$\displaystyle x^a\times~x^b=x^{a+b}$

It's a simple enough rule to apply.

$\displaystyle 3^2\times~3^5=3^{2+5}=3^7$

If you wish to receive further help, then please present an effort.

ohh thank you so much so first one is $\displaystyle D^{1.2}$ second one is $\displaystyle V^{6.6}$ and third one is $\displaystyle P^{9.2}*V^6$

Originally Posted by redbullracer
ohh thank you so much so first one is $\displaystyle D^{1.2}$ second one is $\displaystyle V^{6.6}$ and third one is $\displaystyle P^{9.2}*V^6$
All correct!

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### simplify the following al

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