Solve p^37642-1 - ScanMath

Question

Simplify the expression

7642 p^{3} - 1

Evaluate

p^{3} \times 7642 - 1

Solution

7642 p^{3} - 1

Show Solution

p = \frac{3 764 2 ^{2}}{7642}

Alternative Form

p \approx 0.050769

Evaluate

p^{3} \times 7642 - 1

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

p^{3} \times 7642 - 1 = 0

Use the commutative property to reorder the terms

7642 p^{3} - 1 = 0

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

7642 p^{3} = 0 + 1

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

7642 p^{3} = 1

Divide both sides

\frac{7642 p ^{3}}{7642} = \frac{1}{7642}

Divide the numbers

p^{3} = \frac{1}{7642}

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

3 p^{3} = 3 \frac{1}{7642}

Calculate

p = 3 \frac{1}{7642}

Solution

More Steps

Evaluate

3 \frac{1}{7642}

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

\frac{3 1}{3 7642}

Simplify the radical expression

\frac{1}{3 7642}

Multiply by the Conjugate

\frac{3 764 2 ^{2}}{3 7642 \times 3 764 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

37642 \times 3 764 2^{2}

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

3 7642 \times 764 2^{2}

Calculate the product

3 764 2^{3}

Reduce the index of the radical and exponent with 3

7642

\frac{3 764 2 ^{2}}{7642}

p = \frac{3 764 2 ^{2}}{7642}

Alternative Form

p \approx 0.050769

Show Solution