Solve h^6396-5-0 - ScanMath

Question

Simplify the expression

396 h^{6} - 5

Evaluate

h^{6} \times 396 - 5 - 0

Use the commutative property to reorder the terms

396 h^{6} - 5 - 0

Solution

396 h^{6} - 5

Show Solution

h_{1} = - \frac{6 5 \times 39 6 ^{5}}{396}, h_{2} = \frac{6 5 \times 39 6 ^{5}}{396}

Alternative Form

h_{1} \approx - 0.482554, h_{2} \approx 0.482554

Evaluate

h^{6} \times 396 - 5 - 0

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

h^{6} \times 396 - 5 - 0 = 0

Use the commutative property to reorder the terms

396 h^{6} - 5 - 0 = 0

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

396 h^{6} - 5 = 0

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

396 h^{6} = 0 + 5

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

396 h^{6} = 5

Divide both sides

\frac{396 h ^{6}}{396} = \frac{5}{396}

Divide the numbers

h^{6} = \frac{5}{396}

Take the root of both sides of the equation and remember to use both positive and negative roots

h = \pm 6 \frac{5}{396}

Simplify the expression

More Steps

Evaluate

6 \frac{5}{396}

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

\frac{6 5}{6 396}

Multiply by the Conjugate

\frac{6 5 \times 6 39 6 ^{5}}{6 396 \times 6 39 6 ^{5}}

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

\frac{6 5 \times 39 6 ^{5}}{6 396 \times 6 39 6 ^{5}}

Multiply the numbers

More Steps

Evaluate

6396 \times 6 39 6^{5}

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

6 396 \times 39 6^{5}

Calculate the product

6 39 6^{6}

Reduce the index of the radical and exponent with 6

396

\frac{6 5 \times 39 6 ^{5}}{396}

h = \pm \frac{6 5 \times 39 6 ^{5}}{396}

Separate the equation into 2 possible cases

h = \frac{6 5 \times 39 6 ^{5}}{396} h = - \frac{6 5 \times 39 6 ^{5}}{396}

Solution

h_{1} = - \frac{6 5 \times 39 6 ^{5}}{396}, h_{2} = \frac{6 5 \times 39 6 ^{5}}{396}

Alternative Form

h_{1} \approx - 0.482554, h_{2} \approx 0.482554

Show Solution