Solve c^64587-1 - ScanMath

Question

Simplify the expression

4587 c^{6} - 1

Evaluate

c^{6} \times 4587 - 1

Solution

4587 c^{6} - 1

Show Solution

c_{1} = - \frac{6 458 7 ^{5}}{4587}, c_{2} = \frac{6 458 7 ^{5}}{4587}

Alternative Form

c_{1} \approx - 0.245327, c_{2} \approx 0.245327

Evaluate

c^{6} \times 4587 - 1

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

c^{6} \times 4587 - 1 = 0

Use the commutative property to reorder the terms

4587 c^{6} - 1 = 0

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

4587 c^{6} = 0 + 1

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

4587 c^{6} = 1

Divide both sides

\frac{4587 c ^{6}}{4587} = \frac{1}{4587}

Divide the numbers

c^{6} = \frac{1}{4587}

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

c = \pm 6 \frac{1}{4587}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{4587}

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

\frac{6 1}{6 4587}

Simplify the radical expression

\frac{1}{6 4587}

Multiply by the Conjugate

\frac{6 458 7 ^{5}}{6 4587 \times 6 458 7 ^{5}}

Multiply the numbers

More Steps

Evaluate

64587 \times 6 458 7^{5}

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

6 4587 \times 458 7^{5}

Calculate the product

6 458 7^{6}

Reduce the index of the radical and exponent with 6

4587

\frac{6 458 7 ^{5}}{4587}

c = \pm \frac{6 458 7 ^{5}}{4587}

Separate the equation into 2 possible cases

c = \frac{6 458 7 ^{5}}{4587} c = - \frac{6 458 7 ^{5}}{4587}

Solution

c_{1} = - \frac{6 458 7 ^{5}}{4587}, c_{2} = \frac{6 458 7 ^{5}}{4587}

Alternative Form

c_{1} \approx - 0.245327, c_{2} \approx 0.245327

Show Solution