0
2^(1) = 2
Remember this table of powers.
n^(0) = 1
n^(1) = n
n^(2) = n^(2)
e.g.
2^(0) = 1
2^(1) = 2
2^(2) = 4
et seq.,
NB When the index number of '1' is used , it is only there as a guide to manipulating indices ( index numbers).
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What is a negative number to the negative power?
It can be a negative or a positive number depending on the absolute value of the power.e.g.(-4) to the power of -2 gives (1/16) and(-4) to the power of -1 gives (-1/4)
How should you simplify x0?
If that is x to the power 0, then it = 1, irrespective of the value of x. Consider for example x =4. x squared is 16. To get from x to the power 2 to x to the power 1, you divide by x, giving 4 to the power 1 = 4. Similarly, to get from x to the power 1 to x to the power 0, you divide by x, giving 4 to the power zero = 1.
Calculate the resolving power if the wavelength is 600 nm and the numerical apertures are 0 0.2 0.4 0.6 0.8 and 1.0?
Use the Equation, Resolving Power=lambda/2(Numerical Aperture). So, given the values for Numerical Aperture(NA): If NA=0, then R=0, NA=0.2, then R=1500, NA=0.4, then R=750, etc. Simply solve the equation substituting the provided Numerical Aperture (NA) values in.
What is it called when you find the numerical value of an expression?
You cannot find the answer to an expression!!! An expression needs to be EQUATED' to a value, for another value to be found. 2x^(2) + 5x + 12 is an EXPRESSION. Impossible to find an value for 'x'. However, 2x^(2) + 5x + 12 = 0 is an EQUATION and a result can be calculated.
What is the difference between a numerical expression and a algebraic expression?
Numerical expressions solely include numbers, while algebraic expressions may contain a variable like x. An example of a numerical expression is 1+2 and an example of an algebraic expression is 2x+3y=0.
