Solve m^55302/156-24

Question

Simplify the expression

\frac{2651}{78} m^{5} - 24

Evaluate

m^{5} \times \frac{5302}{156} - 24

Cancel out the common factor 2

m^{5} \times \frac{2651}{78} - 24

Solution

\frac{2651}{78} m^{5} - 24

Show Solution

\frac{1}{78} (2651 m^{5} - 1872)

Evaluate

m^{5} \times \frac{5302}{156} - 24

Cancel out the common factor 2

m^{5} \times \frac{2651}{78} - 24

Use the commutative property to reorder the terms

\frac{2651}{78} m^{5} - 24

Solution

\frac{1}{78} (2651 m^{5} - 1872)

Show Solution

m = \frac{5 1872 \times 265 1 ^{4}}{2651}

Alternative Form

m \approx 0.93278

Evaluate

m^{5} \times \frac{5302}{156} - 24

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

m^{5} \times \frac{5302}{156} - 24 = 0

Cancel out the common factor 2

m^{5} \times \frac{2651}{78} - 24 = 0

Use the commutative property to reorder the terms

\frac{2651}{78} m^{5} - 24 = 0

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

\frac{2651}{78} m^{5} = 0 + 24

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

\frac{2651}{78} m^{5} = 24

Multiply by the reciprocal

\frac{2651}{78} m^{5} \times \frac{78}{2651} = 24 \times \frac{78}{2651}

Multiply

m^{5} = 24 \times \frac{78}{2651}

Multiply

More Steps

Evaluate

24 \times \frac{78}{2651}

Multiply the numbers

\frac{24 \times 78}{2651}

Multiply the numbers

\frac{1872}{2651}

m^{5} = \frac{1872}{2651}

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

5 m^{5} = 5 \frac{1872}{2651}

Calculate

m = 5 \frac{1872}{2651}

Solution

More Steps

Evaluate

5 \frac{1872}{2651}

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

\frac{5 1872}{5 2651}

Multiply by the Conjugate

\frac{5 1872 \times 5 265 1 ^{4}}{5 2651 \times 5 265 1 ^{4}}

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

\frac{5 1872 \times 265 1 ^{4}}{5 2651 \times 5 265 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

52651 \times 5 265 1^{4}

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

5 2651 \times 265 1^{4}

Calculate the product

5 265 1^{5}

Reduce the index of the radical and exponent with 5

2651

\frac{5 1872 \times 265 1 ^{4}}{2651}

m = \frac{5 1872 \times 265 1 ^{4}}{2651}

Alternative Form

m \approx 0.93278

Show Solution