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what is 64 to the power of 2/3?

If a number is to the power of 2/3, you should think of it as to the power of 1/3 (so CUBE-rooted), and then being to the power of 2 (so squared).

So here, the cube root of 64 is 4, because 4x4x4=6...

SO
Answered by Stephanie O. Maths tutor
76280 Views

How do I know when to use Sine, Cosine and Tangent

The easy way to remember these uses the acronym SOH-CAH-TOA

The function to use depends on the sides of the triangle you know in the problem. 

With right angled triangles each side has a nam...

JG
Answered by Judy G. Maths tutor
15455 Views

Let w, z be complex numbers. Show that |wz|=|w||z|, and using the fact that x=|x|e^{arg(x)i}, show further that arg(wz)=arg(w)+arg(z) where |.| is the absolute value and arg(.) is the angle (in polar coordinates). Hence, find all solutions to x^n=1 .

Put w=a+bi, z=c+di where a, b, c, d are real, and i2=-1. Then |wz|2=|(a+bi)(c+di)|2=|ac-bd+(ad+cb)i|2=(ac)2+(bd)2-2bcd+(ad)2+(c...

JK
Answered by Jihoon K. Maths tutor
7124 Views

Express 9^(3x+)1 in the form 3^y giving y in the form of ax+b where a and b are constants.

Fistly show that: 93x+1=3y

To find x we need to get the left hand side of the equation to be 3m(3x+1) where 3m

JG
Answered by Judy G. Maths tutor
5107 Views

What is the Product Rule?

The product rule is used when differentiating two functions that are multiplied by eachother. The formula for the product rule is: 

U (dv/dx) + V (du/dx)    where 'dv/dx' is the differential of the...

AW
Answered by Abbie W. Maths tutor
3199 Views

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