Solve p^48501-1 - ScanMath

Question

Simplify the expression

8501 p^{4} - 1

Evaluate

p^{4} \times 8501 - 1

Solution

8501 p^{4} - 1

Show Solution

p_{1} = - \frac{4 850 1 ^{3}}{8501}, p_{2} = \frac{4 850 1 ^{3}}{8501}

Alternative Form

p_{1} \approx - 0.104144, p_{2} \approx 0.104144

Evaluate

p^{4} \times 8501 - 1

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

p^{4} \times 8501 - 1 = 0

Use the commutative property to reorder the terms

8501 p^{4} - 1 = 0

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

8501 p^{4} = 0 + 1

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

8501 p^{4} = 1

Divide both sides

\frac{8501 p ^{4}}{8501} = \frac{1}{8501}

Divide the numbers

p^{4} = \frac{1}{8501}

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

p = \pm 4 \frac{1}{8501}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{8501}

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

\frac{4 1}{4 8501}

Simplify the radical expression

\frac{1}{4 8501}

Multiply by the Conjugate

\frac{4 850 1 ^{3}}{4 8501 \times 4 850 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

48501 \times 4 850 1^{3}

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

4 8501 \times 850 1^{3}

Calculate the product

4 850 1^{4}

Reduce the index of the radical and exponent with 4

8501

\frac{4 850 1 ^{3}}{8501}

p = \pm \frac{4 850 1 ^{3}}{8501}

Separate the equation into 2 possible cases

p = \frac{4 850 1 ^{3}}{8501} p = - \frac{4 850 1 ^{3}}{8501}

Solution

p_{1} = - \frac{4 850 1 ^{3}}{8501}, p_{2} = \frac{4 850 1 ^{3}}{8501}

Alternative Form

p_{1} \approx - 0.104144, p_{2} \approx 0.104144

Show Solution