Exponents Power Point

(3xy)2 = 32 * x2 * y2 = 9x2y2

32 + 33 = 32+3 = 35

3-2 = (1/3)2 = 1/9

a0 = 1

Exponents

x5 * x 3 = x 8

By: Bryce, Trena & Jeremy 2x0 = (2)(1) = 2

(x5)3 = x5*3 = x15

(22)3 = 22*3 = 26

n3/n9 = n3-9 = n-6 = 1/n6 (-2b)3 = (-2)3 * (b)3 = -8b3

Zero Exponent Law • When any base is taken to the power of ZERO the result will be 1

• Examples x0 = 1 30 = 1 3x0 = 3(1) = 3

Negative Exponent Law

• A negative exponent requires that we take the reciprocal of that • Reciprocal: A number related to another in such a way that when multiplied together their product is 1. Example: Take 7; the reciprocal of this is 1/7 therefore… 7 * 1/7 = 1

• Example's: 3-2 = (1/3)2 = 1/9 (-5)-1 = (-1/5)1 = -1/5 5y-3x-2 = 5 * 62 = 180 6-2a4 a4x2y3 a4y3x2

Exponent Law • The exponent law means that we can multiply the bases and add the exponents.

Examples: 3b2 x 4b2 = 12b4 5s5 x 2s2 = 10s7 b 2 x b3 = b 5 (5x-12)(2x4) = 10x-8

Product Law Product Law: When you have a base with exponent and another base with a exponent and you have to multiply them, and you have to add the exponents together.

EXAMPLES: • When you have a base and then have a exponent of y3 it means there it is y*y*y. • So y*y*y is y3 • am + an = am+n

Power of a Power • When using power of a power you must add the exponents.

Examples: (x3)3 = x6 (x)2 = x2 (a3)5 = a8

Quotient Law • You have the same base but different exponents • Basically all your doing is subtracting the smaller exponent from the larger one and then you have the answer.

EXAMPLE: r7 r4 = 7-4 r = 3 r