Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.
(2m*2n*−1/n*2)*3
To simplify the expression and expand any numerical portion, we will begin by simplifying the exponents and combining like terms.
First, let's simplify the numerator: (2m * 2n * -1)
2m * 2n * -1 = -2mn
Now, let's simplify the denominator: n * 2
Since the terms in the denominator have a different base (n and 2), we cannot combine them. So the denominator remains as n * 2.
Putting it all together, the expression becomes:
(-2mn / (n * 2)) * 3
Now, let's simplify the expression further by canceling out any common factors. Notice that n appears in both the numerator and denominator. Thus, we can simplify by canceling them out:
(-2m / 2) * 3
Simplifying further, we have:
-2m * 3
Finally, multiplying the coefficients, we get:
-6m
Therefore, the simplified expression using the properties of exponents and expanding the numerical portion is -6m.