SOLUTION: Hi, Please help me solve this question! Solve 2^2y = 4^3y x 8 Thank you! Do note that ^2Y is written as one and same goes to ^3Y

Algebra ->  Equations -> SOLUTION: Hi, Please help me solve this question! Solve 2^2y = 4^3y x 8 Thank you! Do note that ^2Y is written as one and same goes to ^3Y      Log On


   

Question 389033: Hi,
Please help me solve this question!
Solve 2^2y = 4^3y x 8
Thank you!
Do note that ^2Y is written as one and same goes to ^3Y
Answer by jerryguo41(197) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E2y=4%5E3y%2A8 I presume
4y=64y%2A8
y=0
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: y=0.
  • Graphical form: 4y=64y%2A8 simplifies to -508=0
  • Text form: 4y=64y*8 simplifies to -508=0
  • Cartoon (animation) form: simplify_cartoon%28+4y=64y%2A8+%29
    For tutors: simplify_cartoon( 4y=64y*8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2Ay=highlight_red%28+64+%29%2Ay%2Ahighlight_red%28+8+%29.
Multiplied numerator integers
It becomes 4%2Ay=highlight_green%28+512+%29%2Ay.
Look at 4%2Ay=highlight_red%28+512%2Ay+%29.
Moved these terms to the left highlight_green%28+-512%2Ay+%29
It becomes 4%2Ay-highlight_green%28+512%2Ay+%29=0.
Look at highlight_red%28+4%2Ay+%29-highlight_red%28+512%2Ay+%29=0.
Eliminated similar terms highlight_red%28+4%2Ay+%29,highlight_red%28+-512%2Ay+%29 replacing them with highlight_green%28+%284-512%29%2Ay+%29
It becomes highlight_green%28+%284-512%29%2Ay+%29=0.
Look at %28highlight_red%28+4+%29-highlight_red%28+512+%29%29%2Ay=0.
Added fractions or integers together
It becomes %28highlight_green%28+-508+%29%29%2Ay=0.
Look at %28highlight_red%28+-508+%29%29%2Ay=0.
Removed extra sign in front of -508
It becomes %28-highlight_green%28+508+%29%29%2Ay=0.
Look at highlight_red%28+%28-highlight_red%28+508+%29%29%2Ay+%29=0.
Remove unneeded parentheses around factor highlight_red%28+508+%29
It becomes -highlight_green%28+508+%29%2Ay=0.
Look at -508%2Ahighlight_red%28+y+%29=0.
Notes known roots (y-(0))
Look at -highlight_red%28+508%2A%28highlight_red%28+1+%29%29+%29=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes -508%2Ahighlight_green%28+1+%29=0.
Look at -highlight_red%28+508+%29%2Ahighlight_red%28+1+%29=0.
Multiplied numerator integers
It becomes -highlight_green%28+508+%29=0.
Result: -508=0
This is an equation! Solutions: y=0.

Universal Simplifier and Solver


Done!