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To multiply exponents, ADD powers x*x x2 • x3 = • x*x*x = x*x*x*x*x x2+3 = x5 To multiply exponents, ADD powers x • x3 = x • x*x*x = x*x*x*x x1+3 = x To multiply exponents, ADD powers x5 • x3 = x5+3 = x x•x5•x3 = To multiply exponents, ADD powers x1+5+3 = x x2•x5•x-3 = To multiply exponents, ADD powers x2+5+-3 = x x-5 • x-6 = To multiply exponents, ADD powers x-5+-6 = x x5 • x-3 = To multiply exponents, ADD powers x5+-3 = x To raise a power to another power, MULTIPLY powers (x5)3 = x5*3 = x To raise a power to another power, MULTIPLY powers (x5)6 = x5*6 = x To raise a power to another power, MULTIPLY powers (x3)6 = x3*6 = x (x5y3)7 = To raise several powers to another power, MULTIPLY ALL (inside) powers by the outside power. x5*7y3*7 = x y (x5y3)8 = To raise several powers to another power, MULTIPLY ALL (inside) powers by the outside power. x5*8y3*8 = x y (xy6)7 = To raise several powers to another power, MULTIPLY ALL (inside) powers by the outside power. x1*7y6*7 = x y To divide exponents, SUBTRACT powers x2 x3 = numerator - denominator x3-2 = x To divide exponents, SUBTRACT powers x2 x7 = numerator - denominator x7-2 = x To divide exponents, SUBTRACT powers x5 x8 = numerator - denominator x8-5 = x To divide exponents, SUBTRACT powers x3 x3 = numerator - denominator x3-3 = x Whole number = To divide exponents, SUBTRACT powers x8y7 x2y4 = x8-2•y7-4 numerator - denominator =x y Parentheses first (raise both powers (2 and 4) to the 3rd power) x y (x2y4)3•x5 •x5 Simplify x6 and x5 by ADDING POWERS (x2y4)3•x5 x6y12 •x5 = x y Parentheses first: raise both powers (-2 and 3) to the 4th power (x-2y3)4•x10 x y •x10 Simplify x-8 and x10 by ADDING POWERS (x-2y3)4•x10 x-8y12 •x10= x y The End1 The End2 The End3 The End4 The End5 The End6 |