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Step-by-step Solution

Simplify the algebraic expression $\left(5x^{3−1}\right)^3\ln\left(x^2+1\right)$

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Answer

$125x^{3−13}\ln\left(x^2+1\right)$

Step-by-step explanation

Problem to solve:

$\left(5x^{3−1}\right)^3\ln\left(x^2+1\right)$
1

The power of a product is equal to the product of it's factors raised to the same power

$125x^{3−13}\ln\left(x^2+1\right)$

Answer

$125x^{3−13}\ln\left(x^2+1\right)$
$\left(5x^{3−1}\right)^3\ln\left(x^2+1\right)$

Main topic:

Simplification of algebraic expressions

Time to solve it:

~ 0.62 seconds