Solve p^46802-1 - ScanMath

Question

Simplify the expression

6802 p^{4} - 1

Evaluate

p^{4} \times 6802 - 1

Solution

6802 p^{4} - 1

Show Solution

p_{1} = - \frac{4 680 2 ^{3}}{6802}, p_{2} = \frac{4 680 2 ^{3}}{6802}

Alternative Form

p_{1} \approx - 0.110114, p_{2} \approx 0.110114

Evaluate

p^{4} \times 6802 - 1

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

p^{4} \times 6802 - 1 = 0

Use the commutative property to reorder the terms

6802 p^{4} - 1 = 0

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

6802 p^{4} = 0 + 1

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

6802 p^{4} = 1

Divide both sides

\frac{6802 p ^{4}}{6802} = \frac{1}{6802}

Divide the numbers

p^{4} = \frac{1}{6802}

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

p = \pm 4 \frac{1}{6802}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{6802}

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

\frac{4 1}{4 6802}

Simplify the radical expression

\frac{1}{4 6802}

Multiply by the Conjugate

\frac{4 680 2 ^{3}}{4 6802 \times 4 680 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

46802 \times 4 680 2^{3}

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

4 6802 \times 680 2^{3}

Calculate the product

4 680 2^{4}

Reduce the index of the radical and exponent with 4

6802

\frac{4 680 2 ^{3}}{6802}

p = \pm \frac{4 680 2 ^{3}}{6802}

Separate the equation into 2 possible cases

p = \frac{4 680 2 ^{3}}{6802} p = - \frac{4 680 2 ^{3}}{6802}

Solution

p_{1} = - \frac{4 680 2 ^{3}}{6802}, p_{2} = \frac{4 680 2 ^{3}}{6802}

Alternative Form

p_{1} \approx - 0.110114, p_{2} \approx 0.110114

Show Solution