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Evaluating Exponents of Negative Numbers An exponent is a number that tells how many times the base number is used as a factor. For example, 3 4 indicates that the base number 3 is used as a factor 4 times. To determine the value of 3 4 , multiply 3*3*3*3 which would give the result 81. - PowerPoint PPT Presentation
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Evaluating Exponents of Negative NumbersAn exponent is a number that tells how many times the base number is used as a factor. For example, 34 indicates that the base number 3 is used as a factor 4 times. To determine the value of 34, multiply 3*3*3*3 which would give the result 81.
Evaluating Exponents of Negative NumbersIf a negative number is raised to an even power, the result will be positive. (-2)4 = -2 * -2 * -2 * -2 = 16
If a negative number is raised to an odd power, the result will be negative. (-2)5 = -2 * -2 * -2 * -2 * -2 = -32
Evaluating Exponents of Negative NumbersThe negative number must be enclosed by parentheses to have the exponent apply to the negative term.
Note that (-2)4 = -2 * -2 * -2 * -2 = 16 and -24 = -(2 * 2 * 2 * 2) = -16
Exponents are written as a superscript number (e.g. 34) or preceded by the caret (^) symbol (e.g. 3^4).
http://www.aaamath.com/exp-int-eval-exp.htm
Law Examplexmxn = xm+n x2x3 = x2+3 = x5
xm/xn = xm-n x6/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/xn x-3 = 1/x3
http://www.mathsisfun.com/algebra/exponent-laws.html
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