Simplify a^5bc^2 8abc^5 squareroot 18a^3b^5/squareroot 2a squareroot 18 + square
ID: 3029729 • Letter: S
Question
Simplify a^5bc^2 8abc^5 squareroot 18a^3b^5/squareroot 2a squareroot 18 + squareroot 125 - 2 squareroot 2 + squareroot 50 4 4 Let y = f(x) = 2x^2 - 6x - 8. Find the vertex, all the intercepts, the domain and the range, and graph the function. The rate of the jet stream is 100 miles per hour. Traveling with the jet stream, an airplane can fly 2400 miles in the same amount of time as it takes to fly 1600 miles against the jet stream. What is the airplane's average rate in calm air? Simplify each expression. Leave the answer with positive exponent. (-3x^-2 y^3)(5xy^4) 5 2^-1 + 3 5^0 - (-2)^2 15x^5y^-3z/9x^2y^-2z^-1 (10x^-3y^4/-5x^2y^-1)^2 Given the nth term, find the first four terms and the 15^th term. a_n = (-1)^n + 1/2n + 3 Find the nth term of each sequence 1/2, 1/4, 1/8, ... 1, -4, 9, -16, ... Rewrite each sum using sigma notation 1/1 2 + 1/2 3 + 1/3 4 + 1/4 5 +... 1 + 4 + 7 + 10 +... evaluate each sum Sigma^5_k = 1 1/2k - 1 Sigma^4_k = 0 (-1)^n 2^nExplanation / Answer
10 a ) (a^5bc^2)^1/3 *(8abc^5)^1/3
= (a^(5/3+1/3)b^(1/3+1/3)c^(2/3+5/3)8^1/3
= 2a^(2)b^(2/3)c^(7/3)
b) sqrt(18a^3b^5)/sqrt(2a)
= (18*2)^1/2(a^(3/2+1/2)b^(5/2)
=6*a^2b^5/2
c) sqrt18 + sqrt125 -2sqrt2 +sqrt50
sqrt(9*2) + sqrt(5^3) - 2sqrt2 +sqrt(25*2)
= 3sqrt2 + 5sqrt3 -2sqrt2 + 5sqrt2
= 6sqrt(2) +5sqrt3
d) (4)^1/3*(4)^1/4
=4^(1/3 +1/4)
= 2^(2/3 +2/4)
= 2^(2/3 +1/2)
= 2^(7/6)