Solve p^39904-1 - ScanMath

Question

Simplify the expression

9904 p^{3} - 1

Evaluate

p^{3} \times 9904 - 1

Solution

9904 p^{3} - 1

Show Solution

p = \frac{3 123 8 ^{2}}{2476}

Alternative Form

p \approx 0.046565

Evaluate

p^{3} \times 9904 - 1

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

p^{3} \times 9904 - 1 = 0

Use the commutative property to reorder the terms

9904 p^{3} - 1 = 0

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

9904 p^{3} = 0 + 1

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

9904 p^{3} = 1

Divide both sides

\frac{9904 p ^{3}}{9904} = \frac{1}{9904}

Divide the numbers

p^{3} = \frac{1}{9904}

Take the 3 -th root on both sides of the equation

3 p^{3} = 3 \frac{1}{9904}

Calculate

p = 3 \frac{1}{9904}

Solution

More Steps

Evaluate

3 \frac{1}{9904}

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

\frac{3 1}{3 9904}

Simplify the radical expression

\frac{1}{3 9904}

Simplify the radical expression

More Steps

Evaluate

39904

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 1238

Write the number in exponential form with the base of 2

3 2^{3} \times 1238

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 31238

Reduce the index of the radical and exponent with 3

231238

\frac{1}{2 3 1238}

Multiply by the Conjugate

\frac{3 123 8 ^{2}}{2 3 1238 \times 3 123 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

231238 \times 3 123 8^{2}

Multiply the terms

2 \times 1238

Multiply the terms

2476

\frac{3 123 8 ^{2}}{2476}

p = \frac{3 123 8 ^{2}}{2476}

Alternative Form

p \approx 0.046565

Show Solution