Solve p^46980-1 - ScanMath

Question

Simplify the expression

Solution

6980 p^{4} - 1

Evaluate

p^{4} \times 6980 - 1

Solution

6980 p^{4} - 1

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Find the roots of the algebra expression

p_{1} = - \frac{4 698 0 ^{3}}{6980}, p_{2} = \frac{4 698 0 ^{3}}{6980}

Alternative Form

p_{1} \approx - 0.109405, p_{2} \approx 0.109405

Evaluate

p^{4} \times 6980 - 1

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

p^{4} \times 6980 - 1 = 0

Use the commutative property to reorder the terms

6980 p^{4} - 1 = 0

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

6980 p^{4} = 0 + 1

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

6980 p^{4} = 1

Divide both sides

\frac{6980 p ^{4}}{6980} = \frac{1}{6980}

Divide the numbers

p^{4} = \frac{1}{6980}

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

p = \pm 4 \frac{1}{6980}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{6980}

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

\frac{4 1}{4 6980}

Simplify the radical expression

\frac{1}{4 6980}

Multiply by the Conjugate

\frac{4 698 0 ^{3}}{4 6980 \times 4 698 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

46980 \times 4 698 0^{3}

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

4 6980 \times 698 0^{3}

Calculate the product

4 698 0^{4}

Reduce the index of the radical and exponent with 4

6980

\frac{4 698 0 ^{3}}{6980}

p = \pm \frac{4 698 0 ^{3}}{6980}

Separate the equation into 2 possible cases

p = \frac{4 698 0 ^{3}}{6980} p = - \frac{4 698 0 ^{3}}{6980}

Solution

p_{1} = - \frac{4 698 0 ^{3}}{6980}, p_{2} = \frac{4 698 0 ^{3}}{6980}

Alternative Form

p_{1} \approx - 0.109405, p_{2} \approx 0.109405

Show Solution