Solve h^5410-49 - ScanMath

Question

Simplify the expression

410 h^{5} - 49

Evaluate

h^{5} \times 410 - 49

Solution

410 h^{5} - 49

Show Solution

h = \frac{5 49 \times 41 0 ^{4}}{410}

Alternative Form

h \approx 0.653856

Evaluate

h^{5} \times 410 - 49

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

h^{5} \times 410 - 49 = 0

Use the commutative property to reorder the terms

410 h^{5} - 49 = 0

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

410 h^{5} = 0 + 49

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

410 h^{5} = 49

Divide both sides

\frac{410 h ^{5}}{410} = \frac{49}{410}

Divide the numbers

h^{5} = \frac{49}{410}

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

5 h^{5} = 5 \frac{49}{410}

Calculate

h = 5 \frac{49}{410}

Solution

More Steps

Evaluate

5 \frac{49}{410}

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

\frac{5 49}{5 410}

Multiply by the Conjugate

\frac{5 49 \times 5 41 0 ^{4}}{5 410 \times 5 41 0 ^{4}}

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

\frac{5 49 \times 41 0 ^{4}}{5 410 \times 5 41 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

5410 \times 5 41 0^{4}

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

5 410 \times 41 0^{4}

Calculate the product

5 41 0^{5}

Reduce the index of the radical and exponent with 5

410

\frac{5 49 \times 41 0 ^{4}}{410}

h = \frac{5 49 \times 41 0 ^{4}}{410}

Alternative Form

h \approx 0.653856

Show Solution