SOLUTION: Can someone help me solve a^1/2 /a^2
Algebra.Com
Question 1012690: Can someone help me solve a^1/2 /a^2
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
there are 2 laws of exponents that are operating here.
the first is that x^a/x^b = x^(a-b)
the second is that x^-a = 1/x^a
we'll apply them both to your problem.
start with a^(1/2) / a^2.
by the first law, this becomes a^(1/2-2) which becomes a^(-3/2).
by the second law, this becomes 1/a^(3/2).
if this is correct, we can pick any value of a and we'll get the desired result.
let's let a = 4.
then 1/a^(3/2) = 1/4^(3/2) = 1/8.
now we see if that's the same as when we do a^(1/2) / a^2.
a^(1/2) = 2
a^2 = 4^2 = 16
2/16 = 1/8
same answer so we're good.
RELATED QUESTIONS
Solve.
3 - a-1/a+2 = a^2-1/a+2
The first number seems to throwing me off, can... (answered by ankor@dixie-net.com)
Solve the equation
A = 1/2(b + B) for B
Totally lost on this problem. Can... (answered by checkley71,solver91311)
Can someone please help me solve this problem?
3-a-4/a+3=a^2-2/a+3
Thank... (answered by ankor@dixie-net.com)
I am stuck on 3 problems can someone help me?
The first is Solve the following... (answered by MathLover1)
Can someone help me solve this please? multiply (4t^2 + 2t - 1)/(2t -... (answered by jim_thompson5910)
Can someone help me solve this polynomial 49y^2 - 64 (answered by Fermat)
can someone please help me solve this problem? 3(x-2)-5(2x-1)>0. The greater than sign... (answered by stanbon,edjones)
Solve for the unknown variable:
a)sqrt9^x=27
b)8^(1/2x)=(2^7)*(4^9)
c)sqrt125^x=5/25^x (answered by solver91311)
can someone help me solve this graphing problem please
Find the slope of a line... (answered by jim_thompson5910)