SOLUTION: Simplify and write with positive exponents: 7yx^-5 ______ 28y^-5 Simplify and write with positive exponents x^-4 y^5 ________ z^-1 Evaluate (1/3)^2 + 1/4

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Simplify and write with positive exponents: 7yx^-5 ______ 28y^-5 Simplify and write with positive exponents x^-4 y^5 ________ z^-1 Evaluate (1/3)^2 + 1/4       Log On


   

Question 153228This question is from textbook elementary and intermediate algebra
: Simplify and write with positive exponents:
7yx^-5
______
28y^-5


Simplify and write with positive exponents
x^-4 y^5
________
z^-1

Evaluate (1/3)^2 + 1/4 -(4/3)^2 * (1/2)^3

Evaluate 2*(5 - 3)^3 + 8 ÷ 2 + (9 - 4)^2

Evaluate {3(7 - 9) + 16}^3 ÷ (-5) - 2^4

Thanks everyone for your help. :) This question is from textbook elementary and intermediate algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1



%287yx%5E-5%29%2F%2828y%5E-5%29 Start with the given expression.


%281%2F4%29%28yx%5E-5%2Fy%5E-5%29 Divide the coefficients 7 and 28 to get 1%2F4


%281%2F4%29x%5E%28-5%29y%5E%281--5%29 When you divide monomials, simply subtract the exponents.


%281%2F4%29x%5E%28-5%29y%5E6 Subtract.


%281%2F4%29%28y%5E6%2Fx%5E5%29 Rewrite x%5E%28-5%29 as 1%2Fx%5E5


%28y%5E6%29%2F%284x%5E5%29 Combine the fractions.


So %287y%2Ax%5E%28-5%29%29%2F%2828y%5E%28-5%29%29=%28y%5E6%29%2F%284x%5E5%29 where x%3C%3E0 or y%3C%3E0






# 2

Note: x%5E%28-4%29=1%2Fx%5E4 and z%5E%28-1%29=1%2Fz%5E1=1%2Fz


So where x%3C%3E0 and z%3C%3E0






# 3



So %281%2F3%29%5E2+%2B+1%2F4+-%284%2F3%29%5E2+%2A+%281%2F2%29%5E3=5%2F36





# 4




So %282%2A%285+-+3%29%5E3+%2B+8%29+%2F%28+2+%2B+%289+-+4%29%5E2%29+=+8%2F9




# 5



So %28%283%287+-+9%29+%2B+16%29%5E3%29%2F%28-5+-+2%5E4%29=-1000%2F21