Question

How do you simplify (m3p3)(−2mp2)(mp)?

Answer 1

Answer :

$- 36m {}^{3} p {}^{3}$

Step by step explanation :

$(m \times 3p \times 3) \times ( - 2mp \times 2) \times (mp)$

Calculate the product.

$= > (9 \: mp) \times ( - 4 \: mp) \times (mp)$

Multiplying an odd number of negative factors equals a negative.

$= > - 9 \: mp \times 4 \: mpmp$

Multiply the numbers.

$= > - 36 \: mpmpmp$

If a term doesn't have an exponent, it is considered that the exponent is 1.

$= > - 36m {}^{1} p {}^{1} m {}^{1}p {}^{1} m {}^{1} p {}^{1}$

Multiply the terms with the same base by adding their exponents.

$= > - 36m {}^{1 + 1 + 1} p {}^{1 + 1 + 1}$

Calculate the sum of the positive numbers.

$= > - 36m {}^{3} p {}^{3}$