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( x m ) ( x n ) = x m + n

Multiplying powers with the same base. Add the powers of like bases. ( x m ) ( x n ) = x m + n. 5 3 • 5 3 = ( 5 • 5 • 5 )( 5 • 5 • 5 ) = 5 3+3 = 5 6. x -2 • x 4 • x 6 = x -2+4+6 = x 8. Raising an e xponent to a power. Multiply the powers of each base. ( x m ) n = x mn.

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( x m ) ( x n ) = x m + n

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  1. Multiplying powers with the same base Add the powers of like bases (xm) (xn) = xm + n 53 • 53= (5•5•5)(5•5•5) = 53+3 = 56 x-2 • x4• x6= x-2+4+6= x8

  2. Raising an exponent to a power Multiply the powers of each base (xm)n = xmn (53)4 = 53•53•53•53 = 53•4= 512 (5x3)4 = 5x3•5x3•5x3•5x3 = 51•4x3•4= 54x12

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