Solve p^39-1 - ScanMath

Question

Simplify the expression

9 p^{3} - 1

Evaluate

p^{3} \times 9 - 1

Solution

9 p^{3} - 1

Show Solution

p = \frac{3 3}{3}

Alternative Form

p \approx 0.48075

Evaluate

p^{3} \times 9 - 1

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

p^{3} \times 9 - 1 = 0

Use the commutative property to reorder the terms

9 p^{3} - 1 = 0

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

9 p^{3} = 0 + 1

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

9 p^{3} = 1

Divide both sides

\frac{9 p ^{3}}{9} = \frac{1}{9}

Divide the numbers

p^{3} = \frac{1}{9}

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

3 p^{3} = 3 \frac{1}{9}

Calculate

p = 3 \frac{1}{9}

Solution

More Steps

Evaluate

3 \frac{1}{9}

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

\frac{3 1}{3 9}

Simplify the radical expression

\frac{1}{3 9}

Multiply by the Conjugate

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

Simplify

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

Multiply the numbers

More Steps

Evaluate

39 \times 3 9^{2}

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

3 9 \times 9^{2}

Calculate the product

3 9^{3}

Transform the expression

3 3^{6}

Reduce the index of the radical and exponent with 3

3^{2}

\frac{3 3 3}{3 ^{2}}

Reduce the fraction

More Steps

Evaluate

\frac{3}{3 ^{2}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{3 ^{2 - 1}}

Subtract the terms

\frac{1}{3 ^{1}}

Simplify

\frac{1}{3}

\frac{3 3}{3}

p = \frac{3 3}{3}

Alternative Form

p \approx 0.48075

Show Solution