Solve (-2p^26p^3) (-7p^24p)

Question

Simplify the expression

336 p^{8}

Evaluate

(- 2 p^{2} \times 6 p^{3}) (- 7 p^{2} \times 4 p)

Remove the parentheses

- 2 p^{2} \times 6 p^{3} (- 7 p^{2} \times 4 p)

Rewrite the expression

- 2 p^{2} \times 6 p^{3} (- 7) p^{2} \times 4 p

Rewrite the expression

2 p^{2} \times 6 p^{3} \times 7 p^{2} \times 4 p

Multiply the terms

More Steps

Evaluate

2 \times 6 \times 7 \times 4

Multiply the terms

12 \times 7 \times 4

Multiply the terms

84 \times 4

Multiply the numbers

336

336 p^{2} \times p^{3} \times p^{2} \times p

Multiply the terms with the same base by adding their exponents

336 p^{2 + 3 + 2 + 1}

Solution

336 p^{8}

Show Solution

p = 0

Evaluate

(- 2 p^{2} \times 6 p^{3}) (- 7 p^{2} \times 4 p)

To find the roots of the expression,set the expression equal to 0

(- 2 p^{2} \times 6 p^{3}) (- 7 p^{2} \times 4 p) = 0

Multiply

More Steps

Multiply the terms

- 2 p^{2} \times 6 p^{3}

Multiply the terms

- 12 p^{2} \times p^{3}

Multiply the terms with the same base by adding their exponents

- 12 p^{2 + 3}

Add the numbers

- 12 p^{5}

(- 12 p^{5}) (- 7 p^{2} \times 4 p) = 0

Remove the parentheses

- 12 p^{5} (- 7 p^{2} \times 4 p) = 0

Multiply

More Steps

Multiply the terms

- 7 p^{2} \times 4 p

Multiply the terms

- 28 p^{2} \times p

Multiply the terms with the same base by adding their exponents

- 28 p^{2 + 1}

Add the numbers

- 28 p^{3}

- 12 p^{5} (- 28 p^{3}) = 0

Multiply the terms

More Steps

Evaluate

- 12 p^{5} (- 28 p^{3})

Multiply the numbers

More Steps

Evaluate

- 12 (- 28)

Multiplying or dividing an even number of negative terms equals a positive

12 \times 28

Multiply the numbers

336

336 p^{5} \times p^{3}

Multiply the terms

More Steps

Evaluate

p^{5} \times p^{3}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

p^{5 + 3}

Add the numbers

p^{8}

336 p^{8}

336 p^{8} = 0

Rewrite the expression

p^{8} = 0

Solution

p = 0

Show Solution