Solve m^39029/22-192

Question

Simplify the expression

\frac{9029}{22} m^{3} - 192

Evaluate

m^{3} \times \frac{9029}{22} - 192

Solution

\frac{9029}{22} m^{3} - 192

Show Solution

\frac{1}{22} (9029 m^{3} - 4224)

Evaluate

m^{3} \times \frac{9029}{22} - 192

Use the commutative property to reorder the terms

\frac{9029}{22} m^{3} - 192

Solution

\frac{1}{22} (9029 m^{3} - 4224)

Show Solution

m = \frac{4 3 66 \times 902 9 ^{2}}{9029}

Alternative Form

m \approx 0.776297

Evaluate

m^{3} \times \frac{9029}{22} - 192

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

m^{3} \times \frac{9029}{22} - 192 = 0

Use the commutative property to reorder the terms

\frac{9029}{22} m^{3} - 192 = 0

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

\frac{9029}{22} m^{3} = 0 + 192

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

\frac{9029}{22} m^{3} = 192

Multiply by the reciprocal

\frac{9029}{22} m^{3} \times \frac{22}{9029} = 192 \times \frac{22}{9029}

Multiply

m^{3} = 192 \times \frac{22}{9029}

Multiply

More Steps

Evaluate

192 \times \frac{22}{9029}

Multiply the numbers

\frac{192 \times 22}{9029}

Multiply the numbers

\frac{4224}{9029}

m^{3} = \frac{4224}{9029}

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

3 m^{3} = 3 \frac{4224}{9029}

Calculate

m = 3 \frac{4224}{9029}

Solution

More Steps

Evaluate

3 \frac{4224}{9029}

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

\frac{3 4224}{3 9029}

Simplify the radical expression

More Steps

Evaluate

34224

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

3 64 \times 66

Write the number in exponential form with the base of 4

3 4^{3} \times 66

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

3 4^{3} \times 366

Reduce the index of the radical and exponent with 3

4366

\frac{4 3 66}{3 9029}

Multiply by the Conjugate

\frac{4 3 66 \times 3 902 9 ^{2}}{3 9029 \times 3 902 9 ^{2}}

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

\frac{4 3 66 \times 902 9 ^{2}}{3 9029 \times 3 902 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

39029 \times 3 902 9^{2}

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

3 9029 \times 902 9^{2}

Calculate the product

3 902 9^{3}

Reduce the index of the radical and exponent with 3

9029

\frac{4 3 66 \times 902 9 ^{2}}{9029}

m = \frac{4 3 66 \times 902 9 ^{2}}{9029}

Alternative Form

m \approx 0.776297

Show Solution