Solve 10-18 m^3 - ScanMath

Question

Factor the expression

2 (5 - 9 m^{3})

Evaluate

10 - 18 m^{3}

Solution

2 (5 - 9 m^{3})

Show Solution

m = \frac{3 15}{3}

Alternative Form

m \approx 0.822071

Evaluate

10 - 18 m^{3}

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

10 - 18 m^{3} = 0

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

- 18 m^{3} = 0 - 10

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

- 18 m^{3} = - 10

Change the signs on both sides of the equation

18 m^{3} = 10

Divide both sides

\frac{18 m ^{3}}{18} = \frac{10}{18}

Divide the numbers

m^{3} = \frac{10}{18}

Cancel out the common factor 2

m^{3} = \frac{5}{9}

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

3 m^{3} = 3 \frac{5}{9}

Calculate

m = 3 \frac{5}{9}

Solution

More Steps

Evaluate

3 \frac{5}{9}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 5}{3 9}

Multiply by the Conjugate

\frac{3 5 \times 3 9 ^{2}}{3 9 \times 3 9 ^{2}}

Simplify

\frac{3 5 \times 3 3 3}{3 9 \times 3 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 333

Multiply the terms

315 \times 3

Use the commutative property to reorder the terms

3315

\frac{3 3 15}{3 9 \times 3 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 3 9^{2}

The product of roots with the same index is equal to the root of the product

3 9 \times 9^{2}

Calculate the product

3 9^{3}

Transform the expression

3 3^{6}

Reduce the index of the radical and exponent with 3

3^{2}

\frac{3 3 15}{3 ^{2}}

Reduce the fraction

More Steps

Evaluate

\frac{3}{3 ^{2}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{3 ^{2 - 1}}

Subtract the terms

\frac{1}{3 ^{1}}

Simplify

\frac{1}{3}

\frac{3 15}{3}

m = \frac{3 15}{3}

Alternative Form

m \approx 0.822071

Show Solution