Solve M^55629/6-115

Question

Simplify the expression

\frac{5629}{6} M^{5} - 115

Evaluate

M^{5} \times \frac{5629}{6} - 115

Solution

\frac{5629}{6} M^{5} - 115

Show Solution

\frac{1}{6} (5629 M^{5} - 690)

Evaluate

M^{5} \times \frac{5629}{6} - 115

Use the commutative property to reorder the terms

\frac{5629}{6} M^{5} - 115

Solution

\frac{1}{6} (5629 M^{5} - 690)

Show Solution

M = \frac{5 690 \times 562 9 ^{4}}{5629}

Alternative Form

M \approx 0.657179

Evaluate

M^{5} \times \frac{5629}{6} - 115

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

M^{5} \times \frac{5629}{6} - 115 = 0

Use the commutative property to reorder the terms

\frac{5629}{6} M^{5} - 115 = 0

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

\frac{5629}{6} M^{5} = 0 + 115

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

\frac{5629}{6} M^{5} = 115

Multiply by the reciprocal

\frac{5629}{6} M^{5} \times \frac{6}{5629} = 115 \times \frac{6}{5629}

Multiply

M^{5} = 115 \times \frac{6}{5629}

Multiply

More Steps

Evaluate

115 \times \frac{6}{5629}

Multiply the numbers

\frac{115 \times 6}{5629}

Multiply the numbers

\frac{690}{5629}

M^{5} = \frac{690}{5629}

Take the 5 -th root on both sides of the equation

5 M^{5} = 5 \frac{690}{5629}

Calculate

M = 5 \frac{690}{5629}

Solution

More Steps

Evaluate

5 \frac{690}{5629}

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

\frac{5 690}{5 5629}

Multiply by the Conjugate

\frac{5 690 \times 5 562 9 ^{4}}{5 5629 \times 5 562 9 ^{4}}

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

\frac{5 690 \times 562 9 ^{4}}{5 5629 \times 5 562 9 ^{4}}

Multiply the numbers

More Steps

Evaluate

55629 \times 5 562 9^{4}

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

5 5629 \times 562 9^{4}

Calculate the product

5 562 9^{5}

Reduce the index of the radical and exponent with 5

5629

\frac{5 690 \times 562 9 ^{4}}{5629}

M = \frac{5 690 \times 562 9 ^{4}}{5629}

Alternative Form

M \approx 0.657179

Show Solution