am i correct in assuming the following?

Question

when typing is x^2 equal to x squared?
also is * equal to multiply?

Answer 1

Yes, you are correct.

Answer 2

I'm going to presume that you does x² mean x multiplied by x. If that's a correct presumption, then, yes.

The idea of exponentiation is to shorten multiplication problems...'

x^n effectively means
(1)(x)(x)(x)(x)....(x) with x used as a factor n times
.0..1..2..3..4......n

BUT it only works if n is an integer.
If n contains a fraction, and especially if x is negative, the analogy falls apart very fast.

x^(1/2) does not mean (1)(x/2)
If the exponent contains a fraction, the numerator is treated like an integer exponent. The denominator is considered a "root." that is, for example, an exponent of 1/2 might be called "the square root." So x^(3/2) means "the square root of x cubed." x^(3/2) = (x^3)^(1/2) = [x^(1/2)]^3

The rules of exponents are
x^0 = 1 (x≠0)
x^1 = x
(a^p)(b^p) = (ab)^p
(a^p)(a^q) = a^(p+q)
(a^p)^q = a^(pq)

These are really all you need. There are some others, but they're for people who can't understand these.
Example: a^(-p) = (1/a)^p... Well duh!!!
(a^p)(a^q) = a^(p+q)
(a^p)(a^[-p]) = a(p + -p) = a^0 = 1
That must mean that (a^[-p])= (1/a)^p to satisfy
(a^p)(b^p) = (ab)^p
(a^p)([1/a]^p = [(a)(1/a)]^p

Answer 3

Yes, that is correct.

These syntax come from old BASIC computer programming.

When you type an equation, be sure to use plenty of parenthesis to make it clear.

Something like 2/4x^2, it's either (2/4x)^2 or 2/(4x)^2 or 2/4(x)^2. It makes a huge difference which one you actually meant.

Answer 4

x^2 = x²
I suppose * may be taken as a multiplying sign but I would use x or X.
2x multiplied by 3x would then become:
2x X 3x which I think is pretty clear.

Answer 5

Yes that is correct. You have to get creative sometimes when using a computer.

Answer 6

Correct on both counts. Additionaly, 'sqrt' equals square-root, '/' is division. 'int' sometimes means integral. etc.

Answer 7

yes

Answer 8

yes