Posted by Ann on Saturday, September 10, 2011 at 12:33am.
Exponential Notation
Evaluate the following:
x^3+y^2 for x=3 and y=4
I don't understand how to solve this equation. I solved it and got 11 as my answer but the books answer is 26 15/16
Thanks For Your Help

Algebra 2  Jai, Saturday, September 10, 2011 at 1:27am
x^3 + y^(2)
to evaluate means you substitute the value of x and y which are given in the problem.
first, recall some laws of exponents. if a term is raised by a negative number, it is also equal to its reciprocal raised to the that number but positive in sign. for example,
5^(3) = (1/5)^3
thus we can actually rewrite this equation as
x^3 + (1/y)^2
substituting x = 3 and y = 4,
(3)^3 + (1/4)^2
(3)*(3)*(3) + (1/4)*(1/4)
27 + 1/16
26 15/16
hope this helps~ :)

Algebra 2  Ann, Saturday, September 10, 2011 at 2:26am
thanks so much :)) That was really helpful. Just one quick question. How did you get 15/16?

Algebra 2  Jai, Saturday, September 10, 2011 at 3:14am
you can rewrite 27 as 26 16/16 (since 16/16 is just equal to 1). thus,
26 16/16 + 1/16
26 + (161)/16
26 15/16

Algebra 2  Ann, Saturday, September 10, 2011 at 3:03pm
ohh okk thanks so much :)
Answer This Question
Related Questions
 Algebra 2  Exponential Notation Evaluate the following: x^4 for x=2 I ...
 Algebra II  Please check answers: Use the equation of the exponential function ...
 Algebra problems  I have some problems that I would like checked please. Find ...
 solving an exponential equation  Count iblis helped me solve this in another ...
 Algebra  define the following new variables X to A =W X to B =X Y to A =Y Y to ...
 Algebraplease check my answers  Solve the equation by expressing each side as ...
 algebra  1)Solve by factoring:5x^2=419x answer=4,1/5 2)Which quadratic ...
 college algebra  solve the following exponential equation. (e^xe^x)/2=6 what ...
 Chemistry  1. Write 86,400 s in exponential notation. My answer: 8.6400 x 10^4 ...
 Algebra 2  Exponential Notation Simplify. (2)^0(2)^3(2)^1+(2)^4(2)^2 ...
More Related Questions