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Simplify -2nm3 • 4m3 -27m5n6 -4m7n8 12m3n4 -8nm6 Simplify x4 y12 -64x3y9 -x3y6 (-4xy3)3 2a3b2 Simplify. Your answer should contain ONLY positive exponents. ab3 2a2 a2 2b b 2b5 b a a3 12k√2k 4k√6k 4k√7k 5k√3k Simplify √(96k3) Simplify 3k2∛2 -22∛6k2 ∛(54k6) -3∛6 2k2∛7k Simplify 2∜7r2 2∜2r ∜112r2 2∜8r3 3∜4r2 Simplify 9√3 + 6√6 3√3 + 9√6 6√3 + 6√6 3√3 + 6√6 3√3 + 3√6 + 2√54 -2∜32 -2∜2 -12∜2 -6∜2 -8∜2 -14∜2 √5(3 +√10) 3√5 + 5√2 4√2 + 4 10 3√3 + √30 4∜64∙∜20 16∜5 4∜5 1280 ∜84 √15 Simplify √15 5 3 √3 √5 5√3 2√5 9 f-1(x) = -¾x + 9/4 f-1(x)= -2 +¼x Find the inverse of the functions. f(x) = -7x + 5 f-1(x) =-2x+5 f-1(x)= x-5 -7 7 Simplify 7b-5 21 21b-15 b+4 1/6 1 1 Simplify n+8 n+1 n2-7n-8 n-8 1 n+4 n+4 Simplify k+9 1 3(k+2) k+9 9k+81 7 2(k-6) k+6 k+2 7 3 Simplify 3a(a-4) a2 5 4 2 6 1 a+3 (a+5)(a-10 • 2a3+6a2 10 Simplify 2 1 6x-12 30x2-60x x+2 x-7 ÷ 4 10x 1 Simplify n+8 2n n+5 n+9 5n+40 n+8 ÷ n-5 n+9 1 5 n-1 n-5 Is the graph a correct sketch of y=√(x-2) -3 ? (type yes or no) Is the graph a correct sketch of y=∛(x+2) +4? (type yes or no) 6k2 +32k 0 Simplify ( k+4)(k+6) 3k k+4 5k2 +26k 4k2 + (k+4)(k+6) (k+4)(k+6) 2k k+6 Simplify 2-8p+5p2 2-10p 3(5p+2) 3(5p+2) 15p +6 6 3-7p+5p2 2-7p+5p2 3(5p+2) - 3(5p+2) ⅔ Rewrite the equation in exponential form. (-2)3 = 1/9 (1/9)3 = -2 3-2 = 1/9 3(1/9) = -2 log3(1/9) = -2 log14196=2 Rewrite the equation in logarithmic form. log1962=14 142 = 196 log214=196 log19614=2 Evaluate the expression. 1 4 3 2 log28 Evaluate the expression. -3 3 1/16 2 log2⅛ 5log2x +25log2y 5log2x -25log2y Expand the logarithmic expression. log2(x5/y)5 25log2x -5log2y log2z + log2x +log2y log8√zx log8(x3/y3) 9log8x +3log8y Condense the expression into a single logarithm. log8(x3/y9) log8x9y3 Is the sketch correct for the graph of f(x)= x2-x -4x2+36 (type yes or no) Is the sketch of y correct? y=3•2x type yes or no Is the sketch of the function correct? y=log4(x+3) +1 type yes or no Simplify x4 9x 8x 100000x5 (81x2)½ |