Solve M^39003/1-3009

Question

Simplify the expression

9003 M^{3} - 3009

Evaluate

M^{3} \times \frac{9003}{1} - 3009

Divide the terms

M^{3} \times 9003 - 3009

Solution

9003 M^{3} - 3009

Show Solution

3 (3001 M^{3} - 1003)

Evaluate

M^{3} \times \frac{9003}{1} - 3009

Divide the terms

M^{3} \times 9003 - 3009

Use the commutative property to reorder the terms

9003 M^{3} - 3009

Solution

3 (3001 M^{3} - 1003)

Show Solution

M = \frac{3 1003 \times 300 1 ^{2}}{3001}

Alternative Form

M \approx 0.693977

Evaluate

M^{3} \times \frac{9003}{1} - 3009

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

M^{3} \times \frac{9003}{1} - 3009 = 0

Divide the terms

M^{3} \times 9003 - 3009 = 0

Use the commutative property to reorder the terms

9003 M^{3} - 3009 = 0

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

9003 M^{3} = 0 + 3009

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

9003 M^{3} = 3009

Divide both sides

\frac{9003 M ^{3}}{9003} = \frac{3009}{9003}

Divide the numbers

M^{3} = \frac{3009}{9003}

Cancel out the common factor 3

M^{3} = \frac{1003}{3001}

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

3 M^{3} = 3 \frac{1003}{3001}

Calculate

M = 3 \frac{1003}{3001}

Solution

More Steps

Evaluate

3 \frac{1003}{3001}

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

\frac{3 1003}{3 3001}

Multiply by the Conjugate

\frac{3 1003 \times 3 300 1 ^{2}}{3 3001 \times 3 300 1 ^{2}}

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

\frac{3 1003 \times 300 1 ^{2}}{3 3001 \times 3 300 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

33001 \times 3 300 1^{2}

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

3 3001 \times 300 1^{2}

Calculate the product

3 300 1^{3}

Reduce the index of the radical and exponent with 3

3001

\frac{3 1003 \times 300 1 ^{2}}{3001}

M = \frac{3 1003 \times 300 1 ^{2}}{3001}

Alternative Form

M \approx 0.693977

Show Solution