Solve p^31216-1 - ScanMath

Question

Simplify the expression

1216 p^{3} - 1

Evaluate

p^{3} \times 1216 - 1

Solution

1216 p^{3} - 1

Show Solution

p = \frac{3 361}{76}

Alternative Form

p \approx 0.093689

Evaluate

p^{3} \times 1216 - 1

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

p^{3} \times 1216 - 1 = 0

Use the commutative property to reorder the terms

1216 p^{3} - 1 = 0

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

1216 p^{3} = 0 + 1

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

1216 p^{3} = 1

Divide both sides

\frac{1216 p ^{3}}{1216} = \frac{1}{1216}

Divide the numbers

p^{3} = \frac{1}{1216}

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

3 p^{3} = 3 \frac{1}{1216}

Calculate

p = 3 \frac{1}{1216}

Solution

More Steps

Evaluate

3 \frac{1}{1216}

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

\frac{3 1}{3 1216}

Simplify the radical expression

\frac{1}{3 1216}

Simplify the radical expression

More Steps

Evaluate

31216

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

3 64 \times 19

Write the number in exponential form with the base of 4

3 4^{3} \times 19

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

3 4^{3} \times 319

Reduce the index of the radical and exponent with 3

4319

\frac{1}{4 3 19}

Multiply by the Conjugate

\frac{3 1 9 ^{2}}{4 3 19 \times 3 1 9 ^{2}}

Simplify

\frac{3 361}{4 3 19 \times 3 1 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

4319 \times 3 1 9^{2}

Multiply the terms

4 \times 19

Multiply the terms

76

\frac{3 361}{76}

p = \frac{3 361}{76}

Alternative Form

p \approx 0.093689

Show Solution