simplify 6√1,000m^3n^12

The simplified expression is 60mn⁶.

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given that the expression is 6√1,000m³n¹².

We can simplify this expression by breaking down 1,000 into its prime factorization:

1,000 = 2³ x 5³

Then we can rewrite the expression as:

6√(2³ x 5³ x m³ x n¹²)

Using the properties of radicals, we can separate the factors inside the radical:

6√2³ x √5³ x √m³ x √n¹²

Simplifying each square root term:

6 x 2 x 5 x m x n⁶

= 60mn⁶

Therefore, the simplified expression is 60mn⁶.

To learn more about the factorization;

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WILL SOMEONE HELP ME ANSWER THIS PLEASE!!!!

Luca and William are playing a video game and they have scored a total of 20,000 points. Luca scored 4,000 more points than William. If you let l= the number of points that Luca scored, and w= the number of points that William scored, then the problem can be represented by the system:

l+w=20,000 and l=w+4,000

Graph the system. How many points did each boy score?

My possible answers are:
a. William = 8,000 and Luca = 12,000
b. William = 12,000 and Luca = 8,000

d. William = 4,000 and Luca = 16,000