Solve m^36312-1 - ScanMath

Question

Simplify the expression

6312 m^{3} - 1

Evaluate

m^{3} \times 6312 - 1

Solution

6312 m^{3} - 1

Show Solution

m = \frac{3 78 9 ^{2}}{1578}

Alternative Form

m \approx 0.05411

Evaluate

m^{3} \times 6312 - 1

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

m^{3} \times 6312 - 1 = 0

Use the commutative property to reorder the terms

6312 m^{3} - 1 = 0

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

6312 m^{3} = 0 + 1

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

6312 m^{3} = 1

Divide both sides

\frac{6312 m ^{3}}{6312} = \frac{1}{6312}

Divide the numbers

m^{3} = \frac{1}{6312}

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

3 m^{3} = 3 \frac{1}{6312}

Calculate

m = 3 \frac{1}{6312}

Solution

More Steps

Evaluate

3 \frac{1}{6312}

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

\frac{3 1}{3 6312}

Simplify the radical expression

\frac{1}{3 6312}

Simplify the radical expression

More Steps

Evaluate

36312

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

3 8 \times 789

Write the number in exponential form with the base of 2

3 2^{3} \times 789

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

3 2^{3} \times 3789

Reduce the index of the radical and exponent with 3

23789

\frac{1}{2 3 789}

Multiply by the Conjugate

\frac{3 78 9 ^{2}}{2 3 789 \times 3 78 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

23789 \times 3 78 9^{2}

Multiply the terms

2 \times 789

Multiply the terms

1578

\frac{3 78 9 ^{2}}{1578}

m = \frac{3 78 9 ^{2}}{1578}

Alternative Form

m \approx 0.05411

Show Solution