Question

Evaluate \[8-\dfrac {m}{n} p^2\] when \[m=8\], \[n=2\], \[p=7\].

Answer 1

To evaluate the expression with the given values, we substitute 8 for m, 2 for n, and 7 for p, and follow mathematical operations to get the result of -188.

Step-by-step explanation:

To evaluate the expression 8 - \( \frac{m}{n} \) \( p^2 \) given \( m=8 \), \( n=2 \), and \( p=7 \), we follow these steps:

1. Substitute the given values into the expression.
2. Calculate the value of the numerator (\( m \times p^2 \)).
3. Divide the result by the denominator (\( n \)).
4. Subtract the result from 8.

The calculations would proceed as follows:

Step 1: Substitute values into the expression:

\( 8 - \frac{8}{2} \cdot 7^2 \)

Step 2: Calculate the numerator:

\( 8 \times 7^2 = 8 \times 49 = 392 \)

Step 3: Divide by the denominator:

\( \frac{392}{2} = 196 \)

Step 4: Subtract from 8:

\( 8 - 196 = -188 \)

So the evaluated result of the expression 8 - \( \frac{m}{n} \) \( p^2 \) with the given values is -188.