Solve p^3500132-9

Question

Simplify the expression

500132 p^{3} - 9

Evaluate

p^{3} \times 500132 - 9

Solution

500132 p^{3} - 9

Show Solution

p = \frac{3 150039 6 ^{2}}{500132}

Alternative Form

p \approx 0.026205

Evaluate

p^{3} \times 500132 - 9

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

p^{3} \times 500132 - 9 = 0

Use the commutative property to reorder the terms

500132 p^{3} - 9 = 0

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

500132 p^{3} = 0 + 9

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

500132 p^{3} = 9

Divide both sides

\frac{500132 p ^{3}}{500132} = \frac{9}{500132}

Divide the numbers

p^{3} = \frac{9}{500132}

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

3 p^{3} = 3 \frac{9}{500132}

Calculate

p = 3 \frac{9}{500132}

Solution

More Steps

Evaluate

3 \frac{9}{500132}

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

\frac{3 9}{3 500132}

Multiply by the Conjugate

\frac{3 9 \times 3 50013 2 ^{2}}{3 500132 \times 3 50013 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 3 50013 2^{2}

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

3 9 \times 50013 2^{2}

Calculate the product

3 150039 6^{2}

\frac{3 150039 6 ^{2}}{3 500132 \times 3 50013 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

3500132 \times 3 50013 2^{2}

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

3 500132 \times 50013 2^{2}

Calculate the product

3 50013 2^{3}

Reduce the index of the radical and exponent with 3

500132

\frac{3 150039 6 ^{2}}{500132}

p = \frac{3 150039 6 ^{2}}{500132}

Alternative Form

p \approx 0.026205

Show Solution