Solve n^63596-1 - ScanMath

Question

Simplify the expression

3596 n^{6} - 1

Evaluate

n^{6} \times 3596 - 1

Solution

3596 n^{6} - 1

Show Solution

n_{1} = - \frac{6 359 6 ^{5}}{3596}, n_{2} = \frac{6 359 6 ^{5}}{3596}

Alternative Form

n_{1} \approx - 0.255484, n_{2} \approx 0.255484

Evaluate

n^{6} \times 3596 - 1

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

n^{6} \times 3596 - 1 = 0

Use the commutative property to reorder the terms

3596 n^{6} - 1 = 0

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

3596 n^{6} = 0 + 1

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

3596 n^{6} = 1

Divide both sides

\frac{3596 n ^{6}}{3596} = \frac{1}{3596}

Divide the numbers

n^{6} = \frac{1}{3596}

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

n = \pm 6 \frac{1}{3596}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{3596}

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

\frac{6 1}{6 3596}

Simplify the radical expression

\frac{1}{6 3596}

Multiply by the Conjugate

\frac{6 359 6 ^{5}}{6 3596 \times 6 359 6 ^{5}}

Multiply the numbers

More Steps

Evaluate

63596 \times 6 359 6^{5}

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

6 3596 \times 359 6^{5}

Calculate the product

6 359 6^{6}

Reduce the index of the radical and exponent with 6

3596

\frac{6 359 6 ^{5}}{3596}

n = \pm \frac{6 359 6 ^{5}}{3596}

Separate the equation into 2 possible cases

n = \frac{6 359 6 ^{5}}{3596} n = - \frac{6 359 6 ^{5}}{3596}

Solution

n_{1} = - \frac{6 359 6 ^{5}}{3596}, n_{2} = \frac{6 359 6 ^{5}}{3596}

Alternative Form

n_{1} \approx - 0.255484, n_{2} \approx 0.255484

Show Solution