Solve M^39024/10-1

Question

Simplify the expression

\frac{4512}{5} M^{3} - 1

Evaluate

M^{3} \times \frac{9024}{10} - 1

Cancel out the common factor 2

M^{3} \times \frac{4512}{5} - 1

Solution

\frac{4512}{5} M^{3} - 1

Show Solution

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

Evaluate

M^{3} \times \frac{9024}{10} - 1

Cancel out the common factor 2

M^{3} \times \frac{4512}{5} - 1

Use the commutative property to reorder the terms

\frac{4512}{5} M^{3} - 1

Solution

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

Show Solution

M = \frac{3 5 \times 56 4 ^{2}}{1128}

Alternative Form

M \approx 0.103483

Evaluate

M^{3} \times \frac{9024}{10} - 1

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

M^{3} \times \frac{9024}{10} - 1 = 0

Cancel out the common factor 2

M^{3} \times \frac{4512}{5} - 1 = 0

Use the commutative property to reorder the terms

\frac{4512}{5} M^{3} - 1 = 0

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

\frac{4512}{5} M^{3} = 0 + 1

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

\frac{4512}{5} M^{3} = 1

Multiply by the reciprocal

\frac{4512}{5} M^{3} \times \frac{5}{4512} = 1 \times \frac{5}{4512}

Multiply

M^{3} = 1 \times \frac{5}{4512}

Any expression multiplied by 1 remains the same

M^{3} = \frac{5}{4512}

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

3 M^{3} = 3 \frac{5}{4512}

Calculate

M = 3 \frac{5}{4512}

Solution

More Steps

Evaluate

3 \frac{5}{4512}

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

\frac{3 5}{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 5}{2 3 564}

Multiply by the Conjugate

\frac{3 5 \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 5 \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 5 \times 56 4 ^{2}}{1128}

M = \frac{3 5 \times 56 4 ^{2}}{1128}

Alternative Form

M \approx 0.103483

Show Solution