Solve m^39012/30-503

Question

Simplify the expression

\frac{1502}{5} m^{3} - 503

Evaluate

m^{3} \times \frac{9012}{30} - 503

Cancel out the common factor 6

m^{3} \times \frac{1502}{5} - 503

Solution

\frac{1502}{5} m^{3} - 503

Show Solution

\frac{1}{5} (1502 m^{3} - 2515)

Evaluate

m^{3} \times \frac{9012}{30} - 503

Cancel out the common factor 6

m^{3} \times \frac{1502}{5} - 503

Use the commutative property to reorder the terms

\frac{1502}{5} m^{3} - 503

Solution

\frac{1}{5} (1502 m^{3} - 2515)

Show Solution

m = \frac{3 2515 \times 150 2 ^{2}}{1502}

Alternative Form

m \approx 1.18747

Evaluate

m^{3} \times \frac{9012}{30} - 503

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

m^{3} \times \frac{9012}{30} - 503 = 0

Cancel out the common factor 6

m^{3} \times \frac{1502}{5} - 503 = 0

Use the commutative property to reorder the terms

\frac{1502}{5} m^{3} - 503 = 0

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

\frac{1502}{5} m^{3} = 0 + 503

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

\frac{1502}{5} m^{3} = 503

Multiply by the reciprocal

\frac{1502}{5} m^{3} \times \frac{5}{1502} = 503 \times \frac{5}{1502}

Multiply

m^{3} = 503 \times \frac{5}{1502}

Multiply

More Steps

Evaluate

503 \times \frac{5}{1502}

Multiply the numbers

\frac{503 \times 5}{1502}

Multiply the numbers

\frac{2515}{1502}

m^{3} = \frac{2515}{1502}

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

3 m^{3} = 3 \frac{2515}{1502}

Calculate

m = 3 \frac{2515}{1502}

Solution

More Steps

Evaluate

3 \frac{2515}{1502}

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

\frac{3 2515}{3 1502}

Multiply by the Conjugate

\frac{3 2515 \times 3 150 2 ^{2}}{3 1502 \times 3 150 2 ^{2}}

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

\frac{3 2515 \times 150 2 ^{2}}{3 1502 \times 3 150 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

31502 \times 3 150 2^{2}

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

3 1502 \times 150 2^{2}

Calculate the product

3 150 2^{3}

Reduce the index of the radical and exponent with 3

1502

\frac{3 2515 \times 150 2 ^{2}}{1502}

m = \frac{3 2515 \times 150 2 ^{2}}{1502}

Alternative Form

m \approx 1.18747

Show Solution