Question

Rewrite as a square of a monomial: 0.36x^6

Answer 1

Answer:

(0.6x³)²

Step-by-step explanation:

Given the indicinal expression 0.36x^6, to express as a square of a monomial means expressing the expressing as the square of a single function as shown.

$0.36x^{6} \\= (0.6*0.6)*(x^{3})^{2}\\= 0.6^{2}*(x^{3})^{2}$

According to one of the law of indices, $a^{n} * b^{n} = (ab)^{n}$. Applying this to the resulting equation will give;

$(0.6*x^{3} )^{2}$

$= (0.6x^{3})^{2}$

This gives the required equation.