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7^765 * 7^450 * 7^-822 * 7^-389.

$$7^{765} * 7^{450} * 7^{-822} * 7^{-389}\\\
=7^{765+450-822-389}\\\\$$

$${\mathtt{765}}{\mathtt{\,\small\textbf+\,}}{\mathtt{450}}{\mathtt{\,-\,}}{\mathtt{822}}{\mathtt{\,-\,}}{\mathtt{389}} = {\mathtt{4}}$$

$$7^4 = 49^2=(50-1)^2=2500-100+1=2401$$     

I've done a little more working than necessary because I didn't feel like using a calculator except I was lazy with the addition.

Your general welfare of the countries, or the welfare system? 

Do it for your self! Good luck.

If you take the first and the third equation you have 2 simultaneous equations in the 2 unknowns, Q and T2, so you could solve for them, then insert the values into the middle equation to get T3.  Perhaps that is what your lecturer wants you to do.

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What is the formula to solve 7^765 * 7^450 * 7^-822 * 7^-389.
This type of question from a member will get the best reply.

Two excellent answers - Thank you.      

Or really. I thought the lecturer just wanted to resolve using two equations. Though taking the inverse of a 3x2 matrix might not have been posible right? Hope I can transpose it now, knowing what i want to achieve. I wouldn't have known to invole Q and tbh I don't know why but I was just confused about how to transpose it. I think that it is an area for development this weekend to be honest and next week with Maths stupports. Really exceptional and I will do the rest. 

Very pretty Ninja  

This question is incomplete.

This question is not complete.  

I always like to draw a triangle to answer these.

1000/1000*656/1200 

=1*656/1200

=656/1200

=0.546666666666666666666666666666666666666666666666666666666666666666666666666...

We could still interpret this as a question about the cross-product of 3-d vectors.  Each of u, v and w lie in the x-y plane, so the cross-product result would point in the z-direction.

$$or\\
\sqrt{45}=\sqrt{9*5}=3\sqrt{5}$$

This is a good answer Dragon.  Thank you.

I think it may help when u are applying for a job !!

You know I was getting bored so thought to answer your question which is a million times easy!!!

So ,

we will write 40million  minus 7 million as 

40,000,000 - 7,000,000 (in this we just simply have to subtract them both )

= 33,000,000 ANSWER

Tip: you could also use the on-site calculator for this as well !!!

Thanks Chris. 

Here is a very similar question that I answered.

just enter it on the site calc like this,  or you can use the normal function buttons.

sqrt(pi)=

$${\sqrt{{\mathtt{\pi}}}} = {\mathtt{1.772\: \!453\: \!850\: \!905\: \!515\: \!9}}$$

Yes ofcourse, thank you Chris

inverse cos is the same as arc cos so just enter it on the calculator as 

acos(0.41998)  

I think you might be asking to find the angle whose sine = .41998

If so, we can us the sine inverse to find this...so we have

sin^-1 (.41998) = about 24.83°   ( note that this also might be a second quadrant angle, since the sine is also positive in that quadrant.....!!!)

However, you also might be asking about the sine of an angle with a radian measure of .41998...if so, we have...

sin(.41998) = 0.407742191199

Just enter it straight onto the site calculator on the home page.

1.7724538509055159

You would expect to get 1/4 of the 20 and 1/5 of the 10; so expected number = 20/4 + 10/5 = 5+2 = 7