Question

Find the product. 1.5m6(-2m2)4

Answer 1

Step  1  :

Equation at the end of step  1  :

   15

 ((——•(m6))•(0-2m2))•4

   10

Step  2  :

           3

Simplify   —

           2

Equation at the end of step  2  :

   3

 ((— • m6) •  -2m2) • 4

   2

Step  3  :

Equation at the end of step  3  :

  3m6

 (——— •  -2m2) • 4

   2

Step  4  :

Multiplying exponential expressions :

4.1    m6 multiplied by m2 = m(6 + 2) = m8

Canceling Out :

4.2      Canceling out  2  as it appears on both sides of the fraction line

Equation at the end of step  4  :

 -3m8 • 4

Step  5  :

Final result :

 -12m8

Answer 2

Answer:

$24 m^14$

Step-by-step explanation:

We are asked to find the product:

$1.5 m^6 \times {(-2 m^2)}^4$

First solve the parenthesis, distributing the exponent to the multiplication, as follows:

$1.5 m^6 \times ((-2)^4 {m^2}^4)$

$1.5 m^6 \times 16 m^8$

Now, multiply the similar terms:

$1.5 \times 16 \; m^6 \times m^8$

$24 m^{14}$