evaluating exponents of negative numbers

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

Raise integers to powers

Raise integers to powers

Raise integers to powers

Raise integers to powers

Apply the quotient of powers property to monomial algebraic expressions

Apply the quotient of powers property to monomial algebraic expressions

Apply the quotient of powers property to monomial algebraic expressions

Apply the quotient of powers property to monomial algebraic expressions

Apply the product of powers property to a monomial algebraic expression

Apply the product of powers property to a monomial algebraic expression

Apply the product of powers property to a monomial algebraic expression

Apply the product of powers property to a monomial algebraic expression

Evaluate a zero or negative power of an integer

Evaluate a zero or negative power of an integer

Evaluate a zero or negative power of an integer

Apply the power of a power property to a monomial algebraic expression

Apply the power of a power property to a monomial algebraic expression

Apply the power of a power property to a monomial algebraic expression

Apply the power of a power property to a monomial algebraic expression

Apply the power of a product property to a monomial algebraic expression

Apply the power of a product property to a monomial algebraic expression

Apply the power of a product property to a monomial algebraic expression

Apply the power of a product property to a monomial algebraic expression