Algebra/Algebra

Advertisement


Question
Simplify the expression.Assume that variable represent non-negative real numbers.

a. x^11/6
___________
x^11/12

b. 49-^3/2

Thanks

Answer
Note that in mathematics, exponent are done before division.

Since I believe this is not the case in this problem,
(a) could be written as [x^(11/6)]/[x^(11/12)].

When two numbers are divided by each other, the exponents are subtracted.
Since that gives us x^(11/6 - 11/12), it can be seen the exponent needs a common denominator.
If 11/6 is multiplied by 2/2, that gives 11/12.  Since both fractions now have the same denominator, the difference can be taken.  With 22/12 - 11/12, it is known that 22 - 11 = 11, so we have 11/12.  Thus said, it can be seen the answer is x^(11/12).

b. Again, as written, the problem would be 1/[(49^3)*2].
That is, 1/(49*49*49*2) = 2401*98 = 139,398.

I believe again this problem should really be 49^(-3/2) = 1/49^(3/2).
Since 49^(1/2) = 7, this is the same as 1/7^3.
Since 7^3 = 343, this is 1/343.

Algebra

All Answers


Answers by Expert:


Ask Experts

Volunteer


Scott A Wilson

Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Publications
Documents at Boeing in assistance on the manufacturiing floor.

Education/Credentials
MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

Awards and Honors
Both my BS and MS degrees were given with honors.

Past/Present Clients
Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.

©2016 About.com. All rights reserved.