What exactly is the problem? From the title it looks like you need to simplify 47/3 - 124/3, but this has absolutely nothing to do with 4x2 - 12x.mgmarygg said:Homework Statement
(Square Root Exponents) 4(7/3) - 12(4/3)
For this problem The answer is 4x^2 - 12x but i tried i could not seem to obtain the same answer, could you please explain on how to do this step by step so I know do the rest of other problems
mgmarygg said:Homework Equations
The Attempt at a Solution
stuck :( 3√4x)7 - (3√12x)4
= (3√47x7) - (3√124x4)...
To simplify this expression, we can use the rule that states a^(m/n) = (a^(1/n))^m. This means we can rewrite the expression as (4^(1/3))^7 - (12^(1/3))^4.
The first step is to rewrite the bases as the same number raised to the 1/3 power. This will allow us to use the rule mentioned in the previous answer.
To simplify a number raised to a fractional exponent, we can use the rule (a^(m/n) = (a^(1/n))^m. This allows us to rewrite the expression with the base raised to the 1/n power, and then raise that to the m power.
The final simplified form is (4^(1/3))^7 - (12^(1/3))^4. This can be further simplified to 4^7 - 12^4.
No, the expression 4^(7/3) - 12^(4/3) is already in its simplest form. We cannot combine the bases or exponents any further.