Solve h^6399-1 - ScanMath

Question

Simplify the expression

399 h^{6} - 1

Evaluate

h^{6} \times 399 - 1

Solution

399 h^{6} - 1

Show Solution

h_{1} = - \frac{6 39 9 ^{5}}{399}, h_{2} = \frac{6 39 9 ^{5}}{399}

Alternative Form

h_{1} \approx - 0.368557, h_{2} \approx 0.368557

Evaluate

h^{6} \times 399 - 1

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

h^{6} \times 399 - 1 = 0

Use the commutative property to reorder the terms

399 h^{6} - 1 = 0

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

399 h^{6} = 0 + 1

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

399 h^{6} = 1

Divide both sides

\frac{399 h ^{6}}{399} = \frac{1}{399}

Divide the numbers

h^{6} = \frac{1}{399}

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

h = \pm 6 \frac{1}{399}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{399}

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

\frac{6 1}{6 399}

Simplify the radical expression

\frac{1}{6 399}

Multiply by the Conjugate

\frac{6 39 9 ^{5}}{6 399 \times 6 39 9 ^{5}}

Multiply the numbers

More Steps

Evaluate

6399 \times 6 39 9^{5}

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

6 399 \times 39 9^{5}

Calculate the product

6 39 9^{6}

Reduce the index of the radical and exponent with 6

399

\frac{6 39 9 ^{5}}{399}

h = \pm \frac{6 39 9 ^{5}}{399}

Separate the equation into 2 possible cases

h = \frac{6 39 9 ^{5}}{399} h = - \frac{6 39 9 ^{5}}{399}

Solution

h_{1} = - \frac{6 39 9 ^{5}}{399}, h_{2} = \frac{6 39 9 ^{5}}{399}

Alternative Form

h_{1} \approx - 0.368557, h_{2} \approx 0.368557

Show Solution