Solve m^39024/10-17

Question

Simplify the expression

\frac{4512}{5} m^{3} - 17

Evaluate

m^{3} \times \frac{9024}{10} - 17

Cancel out the common factor 2

m^{3} \times \frac{4512}{5} - 17

Solution

\frac{4512}{5} m^{3} - 17

Show Solution

\frac{1}{5} (4512 m^{3} - 85)

Evaluate

m^{3} \times \frac{9024}{10} - 17

Cancel out the common factor 2

m^{3} \times \frac{4512}{5} - 17

Use the commutative property to reorder the terms

\frac{4512}{5} m^{3} - 17

Solution

\frac{1}{5} (4512 m^{3} - 85)

Show Solution

m = \frac{3 85 \times 56 4 ^{2}}{1128}

Alternative Form

m \approx 0.266083

Evaluate

m^{3} \times \frac{9024}{10} - 17

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

m^{3} \times \frac{9024}{10} - 17 = 0

Cancel out the common factor 2

m^{3} \times \frac{4512}{5} - 17 = 0

Use the commutative property to reorder the terms

\frac{4512}{5} m^{3} - 17 = 0

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

\frac{4512}{5} m^{3} = 0 + 17

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

\frac{4512}{5} m^{3} = 17

Multiply by the reciprocal

\frac{4512}{5} m^{3} \times \frac{5}{4512} = 17 \times \frac{5}{4512}

Multiply

m^{3} = 17 \times \frac{5}{4512}

Multiply

More Steps

Evaluate

17 \times \frac{5}{4512}

Multiply the numbers

\frac{17 \times 5}{4512}

Multiply the numbers

\frac{85}{4512}

m^{3} = \frac{85}{4512}

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

3 m^{3} = 3 \frac{85}{4512}

Calculate

m = 3 \frac{85}{4512}

Solution

More Steps

Evaluate

3 \frac{85}{4512}

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

\frac{3 85}{3 4512}

Simplify the radical expression

More Steps

Evaluate

34512

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

3 8 \times 564

Write the number in exponential form with the base of 2

3 2^{3} \times 564

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

3 2^{3} \times 3564

Reduce the index of the radical and exponent with 3

23564

\frac{3 85}{2 3 564}

Multiply by the Conjugate

\frac{3 85 \times 3 56 4 ^{2}}{2 3 564 \times 3 56 4 ^{2}}

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

\frac{3 85 \times 56 4 ^{2}}{2 3 564 \times 3 56 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

23564 \times 3 56 4^{2}

Multiply the terms

2 \times 564

Multiply the terms

1128

\frac{3 85 \times 56 4 ^{2}}{1128}

m = \frac{3 85 \times 56 4 ^{2}}{1128}

Alternative Form

m \approx 0.266083

Show Solution