Solve M^520250-100

Question

Simplify the expression

20250 M^{5} - 100

Evaluate

M^{5} \times 20250 - 100

Solution

20250 M^{5} - 100

Show Solution

50 (405 M^{5} - 2)

Evaluate

M^{5} \times 20250 - 100

Use the commutative property to reorder the terms

20250 M^{5} - 100

Solution

50 (405 M^{5} - 2)

Show Solution

M = \frac{5 2 \times 40 5 ^{4}}{405}

Alternative Form

M \approx 0.345712

Evaluate

M^{5} \times 20250 - 100

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

M^{5} \times 20250 - 100 = 0

Use the commutative property to reorder the terms

20250 M^{5} - 100 = 0

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

20250 M^{5} = 0 + 100

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

20250 M^{5} = 100

Divide both sides

\frac{20250 M ^{5}}{20250} = \frac{100}{20250}

Divide the numbers

M^{5} = \frac{100}{20250}

Cancel out the common factor 50

M^{5} = \frac{2}{405}

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

5 M^{5} = 5 \frac{2}{405}

Calculate

M = 5 \frac{2}{405}

Solution

More Steps

Evaluate

5 \frac{2}{405}

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

\frac{5 2}{5 405}

Multiply by the Conjugate

\frac{5 2 \times 5 40 5 ^{4}}{5 405 \times 5 40 5 ^{4}}

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

\frac{5 2 \times 40 5 ^{4}}{5 405 \times 5 40 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5405 \times 5 40 5^{4}

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

5 405 \times 40 5^{4}

Calculate the product

5 40 5^{5}

Reduce the index of the radical and exponent with 5

405

\frac{5 2 \times 40 5 ^{4}}{405}

M = \frac{5 2 \times 40 5 ^{4}}{405}

Alternative Form

M \approx 0.345712

Show Solution