Question

6m-4(mm)²| mn²=? При m= одна целая одна четвертая При n= одна целая одна восьмая

Answer 1

$6m - \frac{4(mm)^2}{mn^2} = 6m - \frac{4(m^2)^2}{mn^2} = 6m - \frac{4m^4}{m^1*n^2} = 6m- \frac{4m^3}{n^2} =\\ \\ \\ m= 1 \frac{1}{4} = \frac{5}{4} ; n= 1 \frac{1}{8} = \frac{9}{8} \\ \\ 6 * \frac{5}{4} - \frac{4 * ( \frac{5}{4})^3 }{( \frac{9}{8})^2 } = \frac{15}{2} - \frac{ \frac{125}{16} }{\frac{81}{64} } = \frac{15}{2} - \frac{125*64}{16*81} = \frac{15}{2} - \frac{500}{81} = \\ \\ = \frac{1215 - 1000}{162} = \frac{215}{162} = 1 \frac{53}{162}$

Если в выражении опечатка:
$6m - \frac{4(mn)^2}{mn^2}= 6m - \frac{4m^2n^2}{mn^2} = 6m - \frac{4m}{1} = 6m-4m = 2m \\ \\ m= 1 \frac{1}{4} = \frac{5}{4} ; n= 1 \frac{1}{8} \\ \\ 2 * \frac{5}{4} = \frac{2*5}{1*4} = \frac{5}{2} = 2.5$

Answer 2

To find the value of 6m - 4(mm)²| mn², we need to substitute the given values for m and n.

Given: m = 1 1/4 (one and one-fourth) n = 1 1/8 (one and one-eighth)

Let's first calculate the value of mm (m squared): mm = m * m = (1 1/4) * (1 1/4) = (5/4) * (5/4) = 25/16

Now, let's calculate the value of mn²: mn² = (m * n)² = (1 1/4 * 1 1/8)² = (5/4 * 9/8)² = (45/32)²

Next, let's find the value of the expression 6m - 4(mm)²| mn²: 6m - 4(mm)²| mn² = 6 * (1 1/4) - 4 * (25/16) / (45/32) = 6 * (5/4) - 4 * (25/16) / (45/32) = 30/4 - (100/16) / (45/32) = 7.5 - (6.25) / (1.40625) = 7.5 - 4.4278 = 3.0722

So, when m = 1 1/4 and n = 1 1/8, the value of 6m - 4(mm)²| mn² is approximately 3.0722.