Solve 9m^36-1 - ScanMath

Question

Simplify the expression

54 m^{3} - 1

Evaluate

9 m^{3} \times 6 - 1

Solution

54 m^{3} - 1

Show Solution

m = \frac{3 4}{6}

Alternative Form

m \approx 0.264567

Evaluate

9 m^{3} \times 6 - 1

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

9 m^{3} \times 6 - 1 = 0

Multiply the terms

54 m^{3} - 1 = 0

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

54 m^{3} = 0 + 1

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

54 m^{3} = 1

Divide both sides

\frac{54 m ^{3}}{54} = \frac{1}{54}

Divide the numbers

m^{3} = \frac{1}{54}

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

3 m^{3} = 3 \frac{1}{54}

Calculate

m = 3 \frac{1}{54}

Solution

More Steps

Evaluate

3 \frac{1}{54}

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

\frac{3 1}{3 54}

Simplify the radical expression

\frac{1}{3 54}

Simplify the radical expression

More Steps

Evaluate

354

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

3 27 \times 2

Write the number in exponential form with the base of 3

3 3^{3} \times 2

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

3 3^{3} \times 32

Reduce the index of the radical and exponent with 3

332

\frac{1}{3 3 2}

Multiply by the Conjugate

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

Simplify

\frac{3 4}{3 3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

332 \times 3 2^{2}

Multiply the terms

3 \times 2

Multiply the terms

6

\frac{3 4}{6}

m = \frac{3 4}{6}

Alternative Form

m \approx 0.264567

Show Solution