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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, 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.

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**Evaluating Exponents of Negative Numbers**

If 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

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**Evaluating Exponents of Negative Numbers **

The 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).

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**Law Example xmxn = xm+n x2x3 = x2+3 = x5 xm/xn = xm-n**

(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

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**Raise integers to powers**

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**Raise integers to powers**

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**Raise integers to powers**

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**Raise integers to powers**

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**Apply the quotient of powers property to monomial algebraic expressions**

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**Apply the quotient of powers property to monomial algebraic expressions**

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**Apply the quotient of powers property to monomial algebraic expressions**

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**Apply the quotient of powers property to monomial algebraic expressions**

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**Apply the product of powers property to a monomial algebraic expression**

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**Apply the product of powers property to a monomial algebraic expression**

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**Apply the product of powers property to a monomial algebraic expression**

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**Apply the product of powers property to a monomial algebraic expression**

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**Evaluate a zero or negative power of an integer**

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**Evaluate a zero or negative power of an integer**

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**Evaluate a zero or negative power of an integer**

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

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

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

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

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

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

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

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

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