Question

evaluate the expression 5mm/-2p when m=2/5, n=-7 and p=5

Answer 1

evaluate the expression 8a-bc^3 when a=-2, b=1/3 and c=3

Answer 2

To evaluate the expression \( \frac{5mm}{-2p} \) with the given values \( m = \frac{2}{5} \) and \( p = 5 \), we first need to substitute the values of \( m \) and \( p \) into the expression.

1. Substitute the value of \( m \):
\[
mm = \left(\frac{2}{5}\right)\left(\frac{2}{5}\right) = \frac{4}{25}
\]

2. Substitute \( mm \) into the expression:
\[
\frac{5mm}{-2p} = \frac{5 \cdot \frac{4}{25}}{-2 \cdot 5}
\]

3. Calculate the numerator:
\[
5 \cdot \frac{4}{25} = \frac{20}{25} = \frac{4}{5}
\]

4. Calculate the denominator:
\[
-2 \cdot 5 = -10
\]

5. Now, substitute the values back into the expression:
\[
\frac{\frac{4}{5}}{-10}
\]

6. Simplify:
\[
\frac{4}{5} \div -10 = \frac{4}{5} \cdot -\frac{1}{10} = -\frac{4}{50} = -\frac{2}{25}
\]

So, the evaluated expression is:
\[
-\frac{2}{25}
\]

Answer 3

To evaluate the expression \( 8a - bc^3 \) with the given values \( a = -2 \), \( b = \frac{1}{3} \), and \( c = 3 \), follow these steps:

1. Substitute the values of \( a \), \( b \), and \( c \) into the expression:
\[
8(-2) - \left(\frac{1}{3}\right)(3^3)
\]

2. Calculate \( 8(-2) \):
\[
8 \cdot -2 = -16
\]

3. Calculate \( 3^3 \):
\[
3^3 = 27
\]

4. Now substitute this back to find \( bc^3 \):
\[
\left(\frac{1}{3}\right)(27) = 9
\]

5. Substitute these results back into the expression:
\[
-16 - 9
\]

6. Finally, combine the results:
\[
-16 - 9 = -25
\]

Thus, the evaluated expression is:
\[
-25
\]