Question

Show that each expression is equivalent to 2x. Assume x is a positive real number 6x^3/(3√27x^6)

Answer 1

Answer and explanation

We have given equation $\frac{6x^3}{\sqrt[3]{27x^6}}$

We have to prove that after operation it will be equal to 2x

We know that cube root of 27 is 3

And cube root of $x^6$ is $x^2$

So we can write the expression $\frac{6x^3}{\sqrt[3]{27x^6}}=\frac{6x^3}{3x^2}=2x$

So after doing operation on the given expression the result will be 2x

Hence proved