Solve (2z^4)( - z^22z^2)

Question

Simplify the expression

- 4 z^{8}

Evaluate

2 z^{4} (- z^{2} \times 2 z^{2})

Multiply

More Steps

Multiply the terms

z^{2} \times 2 z^{2}

Multiply the terms with the same base by adding their exponents

z^{2 + 2} \times 2

Add the numbers

z^{4} \times 2

Use the commutative property to reorder the terms

2 z^{4}

2 z^{4} (- 2 z^{4})

Multiply the numbers

More Steps

Evaluate

2 (- 2)

Multiplying or dividing an odd number of negative terms equals a negative

- 2 \times 2

Multiply the numbers

- 4

- 4 z^{4} \times z^{4}

Solution

More Steps

Evaluate

z^{4} \times z^{4}

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

z^{4 + 4}

Add the numbers

z^{8}

- 4 z^{8}

Show Solution

z = 0

Evaluate

(2 z^{4}) (- z^{2} \times 2 z^{2})

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

(2 z^{4}) (- z^{2} \times 2 z^{2}) = 0

Multiply the terms

2 z^{4} (- z^{2} \times 2 z^{2}) = 0

Multiply

More Steps

Multiply the terms

z^{2} \times 2 z^{2}

Multiply the terms with the same base by adding their exponents

z^{2 + 2} \times 2

Add the numbers

z^{4} \times 2

Use the commutative property to reorder the terms

2 z^{4}

2 z^{4} (- 2 z^{4}) = 0

Multiply the terms

More Steps

Evaluate

2 z^{4} (- 2 z^{4})

Multiply the numbers

More Steps

Evaluate

2 (- 2)

Multiplying or dividing an odd number of negative terms equals a negative

- 2 \times 2

Multiply the numbers

- 4

- 4 z^{4} \times z^{4}

Multiply the terms

More Steps

Evaluate

z^{4} \times z^{4}

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

z^{4 + 4}

Add the numbers

z^{8}

- 4 z^{8}

- 4 z^{8} = 0

Change the signs on both sides of the equation

4 z^{8} = 0

Rewrite the expression

z^{8} = 0

Solution

z = 0

Show Solution