Question

What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Superscript 4 Baseline EndRoot minus x StartRoot 5 x squared EndRoot).

Answer 1

This is the simplest form $4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2})$.

Exponent

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Simplification

Simplification is to make something easier to do or understand and to make something less complicated.

Given

$\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2} )$ is an expression.

How to make it simple?

$\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2} )$

On simplifying, we have

$\rm 4\sqrt{2} (x)^{\frac{3}{2}} * ( 3\sqrt{10} x^2 - \sqrt{5} x^{\frac{3}{2}})\\\\24\sqrt{5} x^{\frac{7}{2}} - 4\sqrt{10}x^3\\\\4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2} )$

This is the simplest form $4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2})$.

More about the exponent link is given below.

brainly.com/question/5497425