Solve 0-320-b^2b - ScanMath

Question

Simplify the expression

- 320 - b^{3}

Evaluate

0 - 320 - b^{2} \times b

Multiply the terms

More Steps

Evaluate

b^{2} \times b

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

b^{2 + 1}

Add the numbers

b^{3}

0 - 320 - b^{3}

Solution

- 320 - b^{3}

Show Solution

b = - 435

Alternative Form

b \approx - 6.839904

Evaluate

0 - 320 - b^{2} \times b

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

0 - 320 - b^{2} \times b = 0

Multiply the terms

More Steps

Evaluate

b^{2} \times b

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

b^{2 + 1}

Add the numbers

b^{3}

0 - 320 - b^{3} = 0

Removing 0 doesn't change the value,so remove it from the expression

- 320 - b^{3} = 0

Move the constant to the right-hand side and change its sign

- b^{3} = 0 + 320

Removing 0 doesn't change the value,so remove it from the expression

- b^{3} = 320

Change the signs on both sides of the equation

b^{3} = - 320

Take the 3 -th root on both sides of the equation

3 b^{3} = 3 - 320

Calculate

b = 3 - 320

Solution

More Steps

Evaluate

3 - 320

An odd root of a negative radicand is always a negative

- 3320

Simplify the radical expression

More Steps

Evaluate

3320

Write the expression as a product where the root of one of the factors can be evaluated

3 64 \times 5

Write the number in exponential form with the base of 4

3 4^{3} \times 5

The root of a product is equal to the product of the roots of each factor

3 4^{3} \times 35

Reduce the index of the radical and exponent with 3

435

- 435

b = - 435

Alternative Form

b \approx - 6.839904

Show Solution