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base b≠0 base b≠0 bmbn = bm bn Laws of Exponents = bm-n ? bm+n ? b0= 1 ? (bm)n = b-n = 1 bn ? bmn ? Evaluate without using a calculator: (-2/3)-4 (-1)12 40•3-4 32•2-4 2-3 5-4 5-3 = = = = = Simplify 20t2x-2y2 5tx-3y2 54ab-3c3 45a3b-5c0 = = 6 ? 5 ? 4•t•x3•1 ? 1•1•x2•1 ? b2 ? a2 ? c3 ? = 4tx 1 ? = 4tx ? Simplify (u-1+v-1)-1 = = = ( ( uv u+v ? 1u ? v+u uv ? + 1v ? ) ) -1 -1 3x-3y(2x-1y+4xy-1) Simplify 3xy2(2x-1y+4xy-1) = = = 6y2 x4 ? 6y3 ? 6y2+12x2 ? x4 ? + + 12x2y ? 12x2 ? • x2x2 ? |