Solve P^43508-1 - ScanMath

Question

Simplify the expression

3508 P^{4} - 1

Evaluate

P^{4} \times 3508 - 1

Solution

3508 P^{4} - 1

Show Solution

P_{1} = - \frac{4 350 8 ^{3}}{3508}, P_{2} = \frac{4 350 8 ^{3}}{3508}

Alternative Form

P_{1} \approx - 0.129938, P_{2} \approx 0.129938

Evaluate

P^{4} \times 3508 - 1

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

P^{4} \times 3508 - 1 = 0

Use the commutative property to reorder the terms

3508 P^{4} - 1 = 0

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

3508 P^{4} = 0 + 1

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

3508 P^{4} = 1

Divide both sides

\frac{3508 P ^{4}}{3508} = \frac{1}{3508}

Divide the numbers

P^{4} = \frac{1}{3508}

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

P = \pm 4 \frac{1}{3508}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{3508}

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

\frac{4 1}{4 3508}

Simplify the radical expression

\frac{1}{4 3508}

Multiply by the Conjugate

\frac{4 350 8 ^{3}}{4 3508 \times 4 350 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

43508 \times 4 350 8^{3}

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

4 3508 \times 350 8^{3}

Calculate the product

4 350 8^{4}

Reduce the index of the radical and exponent with 4

3508

\frac{4 350 8 ^{3}}{3508}

P = \pm \frac{4 350 8 ^{3}}{3508}

Separate the equation into 2 possible cases

P = \frac{4 350 8 ^{3}}{3508} P = - \frac{4 350 8 ^{3}}{3508}

Solution

P_{1} = - \frac{4 350 8 ^{3}}{3508}, P_{2} = \frac{4 350 8 ^{3}}{3508}

Alternative Form

P_{1} \approx - 0.129938, P_{2} \approx 0.129938

Show Solution