[tex]logk^{3}[/tex] becomes [tex]3logk[/tex] by the use of power rule.
What is the power rule?
- When display style r is a real number in calculus, the power rule is used to differentiate functions of the form [tex]f(x)=x^{r}[/tex].
- Polynomials can also be differentiated using this technique because differentiation is a linear operation on the space of differentiable functions.
- The Taylor series is based on the power rule, which connects a power series to a function's derivatives.
The formula of the power rule:
[tex]\frac{d}{dx} x^{n} =nx^{n-1}[/tex]
Solution -
The given expression is [tex]logk^{3}[/tex].
[tex]logk^{3}[/tex]
⇒ [tex]3logk[/tex]
Therefore, after rewriting the expression it is [tex]3logk[/tex].
Know more about the power rule here:
https://brainly.com/question/819893
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