Solve p^31215-1 - ScanMath

Question

Simplify the expression

1215 p^{3} - 1

Evaluate

p^{3} \times 1215 - 1

Solution

1215 p^{3} - 1

Show Solution

p = \frac{3 75}{45}

Alternative Form

p \approx 0.093715

Evaluate

p^{3} \times 1215 - 1

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

p^{3} \times 1215 - 1 = 0

Use the commutative property to reorder the terms

1215 p^{3} - 1 = 0

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

1215 p^{3} = 0 + 1

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

1215 p^{3} = 1

Divide both sides

\frac{1215 p ^{3}}{1215} = \frac{1}{1215}

Divide the numbers

p^{3} = \frac{1}{1215}

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

3 p^{3} = 3 \frac{1}{1215}

Calculate

p = 3 \frac{1}{1215}

Solution

More Steps

Evaluate

3 \frac{1}{1215}

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

\frac{3 1}{3 1215}

Simplify the radical expression

\frac{1}{3 1215}

Simplify the radical expression

More Steps

Evaluate

31215

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

3 27 \times 45

Write the number in exponential form with the base of 3

3 3^{3} \times 45

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

3 3^{3} \times 345

Reduce the index of the radical and exponent with 3

3345

\frac{1}{3 3 45}

Multiply by the Conjugate

\frac{3 4 5 ^{2}}{3 3 45 \times 3 4 5 ^{2}}

Simplify

\frac{3 3 75}{3 3 45 \times 3 4 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

3345 \times 3 4 5^{2}

Multiply the terms

3 \times 45

Multiply the terms

135

\frac{3 3 75}{135}

Cancel out the common factor 3

\frac{3 75}{45}

p = \frac{3 75}{45}

Alternative Form

p \approx 0.093715

Show Solution