you just do this
x^5
:)
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Oh, dude, it's like you're asking me to do math or something. So, when you have 5 multiplied by itself 5 times, you can write it as 5^5. It's like a shortcut for saying "5 times 5 times 5 times 5 times 5." Easy peasy lemon squeezy!
0.5556
To write x divided among 5, you would use the division symbol (/) to represent the operation of division. The expression would be written as x/5, indicating that x is being split into 5 equal parts. This notation is commonly used in mathematics to show the division of a quantity into a specific number of parts.
8!
Let us say that f(x)=x^4A derivative is the opposite to an integral.If you were to integrate x^4, the first process is taking the power [which in this case is 4], multiplying it by any value before the x [which is 1], then subtracting 1 from the initial power [4]. This leaves 4x^3. The final step is taking the integral of what is 'inside' the power [which is (x)], and multiplying this to the entire answer, which results in 4x^3 x 1 = 4x^3If you were to derive (x)^4, you would just add 1 to the power [4] to become (x)^5 then put the value of the power as the denominator and the function as a numerator. This leaves [(x^5)/(5)]To assure that the derivative is correct, integrate it. (x^5) would become 5x^4. Since (x^5) is over (5), [(5x^4)/(5)] cancels the 5 on the numerator and denominator, thus leaving the original function of x^4