Sunday, March 11, 2012

EXPONENTS!

This week we learned about exponents. An exponent is A quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. The first thing i'm going to do is give you some laws about exponents. Below i made a chart of some of the basic laws involving exponents with examples next to each law.

LawExample
x1 = x61 = 6
x0 = 170 = 1
x-1 = 1/x4-1 = 1/4
xmxn = xm+nx2x3 = x2+3 = x5
xm/xn = xm-nx6/x2 = x6-2 = x4
(xm)n = xmn(x2)3 = x2×3 = x6
(xy)n = xnyn(xy)3 = x3y3
(x/y)n = xn/yn(x/y)2 = x2 / y2
x-n = 1/xnx-3 = 1/x3
And the law about Fractional Exponents:

Here's a few more examples of exponents.

Example 1: (5+2)^2
7^2 which is 49

Example 2. 5^-2
1/5^2 which is 1/25

Example 3. 2^2/2^3
2^-1 which is 1/2

Example 4. (3^2)^3
3^6 which is 729

that's about it on exponents. Just remember the laws and you're good to go!

--Carleyyy

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