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+--- Thread: How do you: (3^4)/(3^(1/4))? (/thread-85992.html)
How do you: (3^4)/(3^(1/4))? - Wesley Menhinick - 11-18-2013 11:47 PM
How do you simplify: (3^4)/(3^(1/4))?
Answer is 3^(15/4)
Also written as:
3^4
_____
3^(1/4)
- Jared - 11-18-2013 11:59 PM
because (3^4)/(3^(1/4)) is the same as (3^4)*(3^(-1/4)) and by properties of exponents which say that if the base is identical and they are multiplied together, then we add the exponents, so that equals (3^(4-1/4)) = (3^(3+3/4)) = 3^(15/4). Its similar to how x*x = x^1*x^1 = x^(1+1) = x^2. Does that help?