SOLUTION: {{{7^3square root2 / 7^square root2}}} im sorry about the format...there is no square root symbol. any help would be greatly appreciated. i get how to do multiplication, but i

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: {{{7^3square root2 / 7^square root2}}} im sorry about the format...there is no square root symbol. any help would be greatly appreciated. i get how to do multiplication, but i      Log On


   

Question 253671: 7%5E3square+root2+%2F+7%5Esquare+root2
im sorry about the format...there is no square root symbol.
any help would be greatly appreciated. i get how to do multiplication, but i am stuck on division, thank you!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: instead of typing "square root2", type "sqrt(2)" and surround it with curly braces to get sqrt%282%29

Remember that %28a%5Eb%29%2F%28a%5Ec%29=a%5E%28b-c%29. In other words, if you divide exponential expressions (with the same base), you just subtract the exponents.




%287%5E%283%2Asqrt%282%29%29%29%5E%22%22%2F%287%5E%28sqrt%282%29%29%29%5E%22%22 Start with the given expression.


7%5E%283%2Asqrt%282%29-sqrt%282%29%29%5E%22%22 Use the identity %28a%5Eb%29%2F%28a%5Ec%29=a%5E%28b-c%29


7%5E%28sqrt%282%29%283-1%29%29%5E%22%22 Factor out the GCF sqrt%282%29 from the exponent.


7%5E%28sqrt%282%29%282%29%29%5E%22%22 Combine like terms.


7%5E%282%2Asqrt%282%29%29%5E%22%22 Rearrange the terms.



So