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Simplify -2nm3 • 4m3 -27m5n6 -4m7n8 12m3n4 -8nm6 Simplify x4 y12 -64x3y9 -x3y6 (-4xy3)3 2a3b2 ab3 Simplify. Your answer should contain ONLY positive exponents. 2a2 b a2 2b 2b5 a b 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 3 Simplify √15 5 √3 √5 5√3 9 2√5 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 7b-5 1/6 Simplify 21 21b-15 b+4 1 b+4 1 n+1 1 n+8 Simplify n-8 n2-7n-8 1 n+4 n+4 Simplify k+9 1 3(k+2) k+9 • 3 9k+81 k+2 7 k+6 2(k-6) 7 Simplify 3a(a-4) 4 a2 5 2 (a+5)(a-10) 6 1 a+3 • 2a3+6a2 10 Simplify 2 1 6x-12 ÷ 1 30x2-60x 10x x+2 4 x-7 Simplify n+8 n+5 2n n+9 n+8 ÷ 1 5n+40 n-5 n-5 5 n+9 n-1 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 ( k+4)(k+6) 0 Simplify 3k + 2k k+4 k+6 5k2 +26k (k+4)(k+6)
4k2 (k+4)(k+6) Simplify 2-8p+5p2 3(5p+2) 2-10p 3(5p+2) 6 15p +6 3-7p+5p2 3(5p+2) 2-7p+5p2 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) Condense the expression into a single logarithm. 9log8x +3log8y 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 |