Solve 1h^5613-408-7935

Question

Simplify the expression

613 h^{5} - 8343

Evaluate

1 \times h^{5} \times 613 - 408 - 7935

Multiply the terms

More Steps

Multiply the terms

1 \times h^{5} \times 613

Rewrite the expression

h^{5} \times 613

Use the commutative property to reorder the terms

613 h^{5}

613 h^{5} - 408 - 7935

Solution

613 h^{5} - 8343

Show Solution

h = \frac{5 8343 \times 61 3 ^{4}}{613}

Alternative Form

h \approx 1.685669

Evaluate

1 \times h^{5} \times 613 - 408 - 7935

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

1 \times h^{5} \times 613 - 408 - 7935 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times h^{5} \times 613

Rewrite the expression

h^{5} \times 613

Use the commutative property to reorder the terms

613 h^{5}

613 h^{5} - 408 - 7935 = 0

Subtract the numbers

613 h^{5} - 8343 = 0

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

613 h^{5} = 0 + 8343

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

613 h^{5} = 8343

Divide both sides

\frac{613 h ^{5}}{613} = \frac{8343}{613}

Divide the numbers

h^{5} = \frac{8343}{613}

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

5 h^{5} = 5 \frac{8343}{613}

Calculate

h = 5 \frac{8343}{613}

Solution

More Steps

Evaluate

5 \frac{8343}{613}

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

\frac{5 8343}{5 613}

Multiply by the Conjugate

\frac{5 8343 \times 5 61 3 ^{4}}{5 613 \times 5 61 3 ^{4}}

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

\frac{5 8343 \times 61 3 ^{4}}{5 613 \times 5 61 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

5613 \times 5 61 3^{4}

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

5 613 \times 61 3^{4}

Calculate the product

5 61 3^{5}

Reduce the index of the radical and exponent with 5

613

\frac{5 8343 \times 61 3 ^{4}}{613}

h = \frac{5 8343 \times 61 3 ^{4}}{613}

Alternative Form

h \approx 1.685669

Show Solution