SOLUTION: Find (a) such that 2x^2a[8x^(5a-4)+5x^(2a+1)]=16x^31+10x^21 Please explain how you got your answer

Algebra.Com
Question 971088: Find (a) such that 2x^2a[8x^(5a-4)+5x^(2a+1)]=16x^31+10x^21 Please explain how you got your answer
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
2x^2a[8x^(5a-4)+5x^(2a+1)]=16x^31+10x^21
16x^7a-4 + 10x^4a+1
Add exponents when distributing
Then set the exponents equal to the appropriate coefficient of the variable, 16x^ and 10x^
7a-4=31
7a=35
a=5
4a+1=21
4a=20
a=5

RELATED QUESTIONS

find the product of -5x(2x^3 - 5x +2) = -10x^4 - 25x^2 + 10 is that the right answer (answered by checkley77)
I have been working on this problem for quite a wile but I cant seem to figure it out... (answered by ankor@dixie-net.com)
-5a-(-1/2b)+31/2a-1/2b (answered by edjones)
5a+3= 31-2a can you... (answered by ikdeep,sdmmadam@yahoo.com)
3. z^-5/3 = 243 4. 2a^-1/4 = 12 please explain how you got the answer with work,... (answered by edjones)
Would you please verify that I have correctly done the below problem? 3a/a+4 - 2a^2 -... (answered by Edwin McCravy,MathLover1)
Please help me answer this question: Does 3b-2a equal 3b-2a/1? Please Explain your... (answered by TimothyLamb)
please show me how you got this answer. 1) x^2+5x+6/x+3 2) a^2+2a-8/a-2 3) m^2-4/m+2 (answered by solver91311)
Simplify:... (answered by Edwin McCravy)