SOLUTION: Im not very good at math. I struggle in this subject. I cant seem to remember steps in problems and when it comes to test my mind goes blank. Will you help me solve this problem?

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Question 187429This question is from textbook
: Im not very good at math. I struggle in this subject. I cant seem to remember steps in problems and when it comes to test my mind goes blank.
Will you help me solve this problem?
Copy and Complete each equation.
2 to the Power of 4
Over 2 to the Power of 3
=
2 to what Power? This question is from textbook

Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Here are two ways to solve this problem:




So %282%5E4%29%2F%282%5E3%29=2%5E1


Or...

%282%5E4%29%2F%282%5E3%29=2%5E%284-3%29=2%5E1


So %282%5E4%29%2F%282%5E3%29=2%5E1 (which is the same answer).

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
With powers or what is the same thing, exponents,
this is the picture to have in your mind:
2^5 = 2*2*2*2*2
2^4 = 2*2*2*2
2^3 = 2*2*2
2^2 = 2*2
2^1 = 2
2^0 = 1 (any number to the 0 power is 1
2^-1 = 1/2
2^-2 = 1/(2*2)
2^-3 = 1/(2*2*2)
2^-4 = 1/(2*2*2*2)
2^-5 = 1/(2*2*2*2*2)
---------------------
2%5E4+%2F+2%5E3+=+2%2A2%2A2%2A2+%2F+%282%2A2%2A2%29
As with any fraction, if there is factor in the numerator
and the same factor in the denominator, they can be
cancelled, so
2%2A2%2A2%2A2+%2F+%282%2A2%2A2%29+=+2%2A2%2A2+%2F+%282%2A2%29 (I cancelled a 2 in the
numerator with a 2 in the denominator
2%2A2%2A2+%2F+%282%2A2%29+=+2%2A2%2F2 I did the same thing again
2%2A2%2F2+=+2 I did the same thing again
If I follow this back to the beginning, I have:
2%5E4+%2F+2%5E3+=+2%5E1 answer