Solve m^55629/7-23

Question

Simplify the expression

Solution

\frac{5629}{7} m^{5} - 23

Evaluate

m^{5} \times \frac{5629}{7} - 23

Solution

\frac{5629}{7} m^{5} - 23

Show Solution

Factor

\frac{1}{7} (5629 m^{5} - 161)

Evaluate

m^{5} \times \frac{5629}{7} - 23

Use the commutative property to reorder the terms

\frac{5629}{7} m^{5} - 23

Solution

\frac{1}{7} (5629 m^{5} - 161)

Show Solution

Find the roots of the algebra expression

m = \frac{5 161 \times 562 9 ^{4}}{5629}

Alternative Form

m \approx 0.491223

Evaluate

m^{5} \times \frac{5629}{7} - 23

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

m^{5} \times \frac{5629}{7} - 23 = 0

Use the commutative property to reorder the terms

\frac{5629}{7} m^{5} - 23 = 0

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

\frac{5629}{7} m^{5} = 0 + 23

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

\frac{5629}{7} m^{5} = 23

Multiply by the reciprocal

\frac{5629}{7} m^{5} \times \frac{7}{5629} = 23 \times \frac{7}{5629}

Multiply

m^{5} = 23 \times \frac{7}{5629}

Multiply

More Steps

Evaluate

23 \times \frac{7}{5629}

Multiply the numbers

\frac{23 \times 7}{5629}

Multiply the numbers

\frac{161}{5629}

m^{5} = \frac{161}{5629}

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

5 m^{5} = 5 \frac{161}{5629}

Calculate

m = 5 \frac{161}{5629}

Solution

More Steps

Evaluate

5 \frac{161}{5629}

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

\frac{5 161}{5 5629}

Multiply by the Conjugate

\frac{5 161 \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{5 161 \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{5 161 \times 562 9 ^{4}}{5629}

m = \frac{5 161 \times 562 9 ^{4}}{5629}

Alternative Form

m \approx 0.491223

Show Solution