Alg. II Block #3 Exam
 Simplify-2nm3 • 4m3-27m5n6-4m7n812m3n4-8nm6    Simplifyx4y12-64x3y9-x3y6(-4xy3)3   2a3b2   ab3Simplify.  Your answer should containONLY positive exponents.2a2      ba2   2b2b5      ab     a3 12k√2k4k√6k4k√7k5k√3kSimplify√(96k3)  Simplify 3k2∛2-22∛6k2∛(54k6)-3∛62k2∛7k  Simplify2∜7r22∜2r∜112r22∜8r33∜4r2  Simplify 9√3 + 6√63√3 + 9√66√3 + 6√63√3  + 6√63√3  + 3√6  + 2√54  -2∜32   -2∜2-12∜2-6∜2-8∜2-14∜2  √5(3 +√10)3√5  +  5√24√2 + 4103√3 + √30  4∜64∙∜2016∜5 4∜51280∜84   √15        3Simplify√15       5√3√55√3       92√5   f-1(x) = -¾x + 9/4f-1(x)= -2 +¼xFind the inverse of the functions.f(x) = -7x + 5f-1(x) =-2x+5f-1(x)=   x-5                   -7      7     7b-5 1/6Simplify      2121b-15b+4    1      b+4     1      n+1   1      n+8   Simplify  n-8n2-7n-8      1       n+4  n+4  Simplify  k+9   1   3(k+2)  k+9   •        39k+81        k+2   7      k+6   2(k-6)           7   Simplify3a(a-4)        4  a2      5        2     (a+5)(a-10)6   1a+3•2a3+6a2     10  Simplify21    6x-12    ÷     130x2-60x         10x   x+2        4x-7  Simplify  n+8      n+5   2n      n+9  n+8      ÷      15n+40           n-5  n-5        5   n+9       n-1             Is the graph a correct sketchof y=√(x-2)  -3 ?(type yes or no)         Is the graph a correct sketch ofy=∛(x+2)  +4?(type yes or no)       6k2  +32k      ( k+4)(k+6)0Simplify 3k      +  2kk+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)    615p +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 = -23-2 = 1/9 3(1/9) = -2log3(1/9) = -2  log14196=2Rewrite the equation in logarithmic form.log1962=14142 = 196log214=196log19614=2 Evaluate the expression.1432log28  Evaluate the expression.-331/162log2⅛  5log2x -25log2y5log2x +25log2yExpand the logarithmic expression.log2(x5/y)525log2x -5log2ylog2z + log2x +log2y  log8√zxlog8(x3/y3)Condense the expression into asingle logarithm.9log8x +3log8ylog8(x3/y9)log8x9y3                                                    Is the sketch correct for the graph off(x)= x2-x       -4x2+36(type yes or no)             Is the sketch of y correct?y=3•2xtype yes or no            Is the sketch of the function correct?y=log4(x+3) +1type yes or no Simplify  x49x8x100000x5(81x2)½
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