Solve M^3540-1 - ScanMath

Question

Simplify the expression

540 M^{3} - 1

Evaluate

M^{3} \times 540 - 1

Solution

540 M^{3} - 1

Show Solution

M = \frac{3 50}{30}

Alternative Form

M \approx 0.122801

Evaluate

M^{3} \times 540 - 1

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

M^{3} \times 540 - 1 = 0

Use the commutative property to reorder the terms

540 M^{3} - 1 = 0

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

540 M^{3} = 0 + 1

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

540 M^{3} = 1

Divide both sides

\frac{540 M ^{3}}{540} = \frac{1}{540}

Divide the numbers

M^{3} = \frac{1}{540}

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

3 M^{3} = 3 \frac{1}{540}

Calculate

M = 3 \frac{1}{540}

Solution

More Steps

Evaluate

3 \frac{1}{540}

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

\frac{3 1}{3 540}

Simplify the radical expression

\frac{1}{3 540}

Simplify the radical expression

More Steps

Evaluate

3540

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

3 27 \times 20

Write the number in exponential form with the base of 3

3 3^{3} \times 20

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

3 3^{3} \times 320

Reduce the index of the radical and exponent with 3

3320

\frac{1}{3 3 20}

Multiply by the Conjugate

\frac{3 2 0 ^{2}}{3 3 20 \times 3 2 0 ^{2}}

Simplify

\frac{2 3 50}{3 3 20 \times 3 2 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3320 \times 3 2 0^{2}

Multiply the terms

3 \times 20

Multiply the terms

60

\frac{2 3 50}{60}

Cancel out the common factor 2

\frac{3 50}{30}

M = \frac{3 50}{30}

Alternative Form

M \approx 0.122801

Show Solution