Solve (8m^3)2 (9-8m)(98m)

Question

Simplify the expression

14112 m^{4} - 12544 m^{5}

Evaluate

8 m^{3} \times 2 (9 - 8 m) \times 98 m

Multiply the terms

More Steps

Evaluate

8 \times 2 \times 98

Multiply the terms

16 \times 98

Multiply the numbers

1568

1568 m^{3} (9 - 8 m) m

Multiply the terms with the same base by adding their exponents

1568 m^{3 + 1} (9 - 8 m)

Add the numbers

1568 m^{4} (9 - 8 m)

Apply the distributive property

1568 m^{4} \times 9 - 1568 m^{4} \times 8 m

Multiply the numbers

14112 m^{4} - 1568 m^{4} \times 8 m

Solution

More Steps

Evaluate

1568 m^{4} \times 8 m

Multiply the numbers

12544 m^{4} \times m

Multiply the terms

More Steps

Evaluate

m^{4} \times m

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

m^{4 + 1}

Add the numbers

m^{5}

12544 m^{5}

14112 m^{4} - 12544 m^{5}

Show Solution

Find the roots

m_{1} = 0, m_{2} = \frac{9}{8}

Alternative Form

m_{1} = 0, m_{2} = 1.125

Evaluate

(8 m^{3}) \times 2 (9 - 8 m) (98 m)

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

(8 m^{3}) \times 2 (9 - 8 m) (98 m) = 0

Multiply the terms

8 m^{3} \times 2 (9 - 8 m) (98 m) = 0

Multiply the terms

8 m^{3} \times 2 (9 - 8 m) \times 98 m = 0

Multiply

More Steps

Multiply the terms

8 m^{3} \times 2 (9 - 8 m) \times 98 m

Multiply the terms

More Steps

Evaluate

8 \times 2 \times 98

Multiply the terms

16 \times 98

Multiply the numbers

1568

1568 m^{3} (9 - 8 m) m

Multiply the terms with the same base by adding their exponents

1568 m^{3 + 1} (9 - 8 m)

Add the numbers

1568 m^{4} (9 - 8 m)

1568 m^{4} (9 - 8 m) = 0

Elimination the left coefficient

m^{4} (9 - 8 m) = 0

Separate the equation into 2 possible cases

m^{4} = 0 9 - 8 m = 0

The only way a power can be 0 is when the base equals 0

m = 0 9 - 8 m = 0

Solve the equation

More Steps

Evaluate

9 - 8 m = 0

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

- 8 m = 0 - 9

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

- 8 m = - 9

Change the signs on both sides of the equation

8 m = 9

Divide both sides

\frac{8 m}{8} = \frac{9}{8}

Divide the numbers

m = \frac{9}{8}

m = 0 m = \frac{9}{8}

Solution

m_{1} = 0, m_{2} = \frac{9}{8}

Alternative Form

m_{1} = 0, m_{2} = 1.125

Show Solution