Mar 14, 2016 · #sqrt(32x^3# #=sqrt (32 * color(purple) ( x^2) * x^1# Simplifying #sqrt32#; #sqrt(32) = sqrt(2*2*2*2*2) = sqrt(color(blue)(2^2 * 2^2) * 2)=color(blue)( 2 *2) sqrt2 ...

Feb 7, 2016 · the given : #32x^3-4# common monomial factor #=4# factor out #4# first #4(8x^3-1)# use the "difference of two cubes " form. #a^3-b^3=(a-b)(a^2+ab+b^2)# for #8x^3-1# so that #8x^3-1=(2x-1)(4x^2+2x+1)# final answer #32x^3-4=4*(2x-1)(4x^2+2x+1)#

Jul 4, 2018 · color(blue)(x=8) 2^(x-3)=32 Notice: 32=2^5 Therefore: 2^(x-3)=2^5 Since both bases are equal, then both exponents are equal: :. x-3=5 x=8

#{: ("both terms are positive","or","both terms are negative"), (x>(3+sqrt(137))/2,,x < (3-sqrt(137))/2) :}# If you like you could use a calculator to evaluate these irrational expressions: #x > 7.352349955color(white)("XX")orcolor(white)("XX")x < -4.35234995# We could verify that these results are reasonable by examining the graph of #x^2-3x ...

Oct 29, 2016 · #3/5# th of the cost is #13.32#. When "translating" words to an equation, "of" means multiplication and "is" means equal. Let #x=# the cost. #3/5 x = 13.32# Multiply both sides by #5/3# #5/3 * 3/5 x = 5/3 * 13.32# #cancel5/cancel3 * cancel3/cancel5 x = (5*13.32)/3# #x=22.2#, so the cost of the present is #$22.20#.

May 16, 2016 · How do you simplify #32^(3/5)#? Algebra Exponents and Exponential Functions Fractional Exponents. 1 Answer

Aug 22, 2016 · f(x) has zeros 1, -1/8 and 3/4 >f(x) = 32x^3-52x^2+17x+3 By the rational roots theorem, any rational zeros of f(x) are expressible in the form p/q for integers p, q with p a divisor of the constant term 3 and q a divisor of the coefficient 32 of the leading term.

Nov 1, 2016 · x = 11/2 = 5 1/2 = 5.5 When you have a variable in the index, you are working with an exponential equation. There are 2 types of exponential equations those that can be calculated by using known powers, and those that need to be calculated using logs and a calculator. This example is an example of the former, because both bases are powers of 2. 4^(x-3) = 32 …

Apr 15, 2015 · The Volume of a box with a square base x by x cm and height h cm is V=x^2h The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area. The surface area of the box described is A=x^2 +4xh We need A as a function of x alone, so we'll use the fact that V=x^2h = 32,000 …

Jun 20, 2017 · -8 (-32)^(3/5) = ((-2)^5)^(3/5) = (-2)^(5*3/5) = (-2)^3 = =-8. 8088 views around the world ...