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

3 answers

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: \[ -\frac{2}{25} \]

evaluate the expression 8a-bc^3 when a=-2, b=1/3 and c=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: \[ -25 \]