Solve m^39029/56-348

Question

Simplify the expression

\frac{9029}{56} m^{3} - 348

Evaluate

m^{3} \times \frac{9029}{56} - 348

Solution

\frac{9029}{56} m^{3} - 348

Show Solution

\frac{1}{56} (9029 m^{3} - 19488)

Evaluate

m^{3} \times \frac{9029}{56} - 348

Use the commutative property to reorder the terms

\frac{9029}{56} m^{3} - 348

Solution

\frac{1}{56} (9029 m^{3} - 19488)

Show Solution

m = \frac{2 3 2436 \times 902 9 ^{2}}{9029}

Alternative Form

m \approx 1.292337

Evaluate

m^{3} \times \frac{9029}{56} - 348

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

m^{3} \times \frac{9029}{56} - 348 = 0

Use the commutative property to reorder the terms

\frac{9029}{56} m^{3} - 348 = 0

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

\frac{9029}{56} m^{3} = 0 + 348

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

\frac{9029}{56} m^{3} = 348

Multiply by the reciprocal

\frac{9029}{56} m^{3} \times \frac{56}{9029} = 348 \times \frac{56}{9029}

Multiply

m^{3} = 348 \times \frac{56}{9029}

Multiply

More Steps

Evaluate

348 \times \frac{56}{9029}

Multiply the numbers

\frac{348 \times 56}{9029}

Multiply the numbers

\frac{19488}{9029}

m^{3} = \frac{19488}{9029}

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

3 m^{3} = 3 \frac{19488}{9029}

Calculate

m = 3 \frac{19488}{9029}

Solution

More Steps

Evaluate

3 \frac{19488}{9029}

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

\frac{3 19488}{3 9029}

Simplify the radical expression

More Steps

Evaluate

319488

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

3 8 \times 2436

Write the number in exponential form with the base of 2

3 2^{3} \times 2436

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

3 2^{3} \times 32436

Reduce the index of the radical and exponent with 3

232436

\frac{2 3 2436}{3 9029}

Multiply by the Conjugate

\frac{2 3 2436 \times 3 902 9 ^{2}}{3 9029 \times 3 902 9 ^{2}}

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

\frac{2 3 2436 \times 902 9 ^{2}}{3 9029 \times 3 902 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

39029 \times 3 902 9^{2}

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

3 9029 \times 902 9^{2}

Calculate the product

3 902 9^{3}

Reduce the index of the radical and exponent with 3

9029

\frac{2 3 2436 \times 902 9 ^{2}}{9029}

m = \frac{2 3 2436 \times 902 9 ^{2}}{9029}

Alternative Form

m \approx 1.292337

Show Solution