Solve p^37365-1 - ScanMath

Question

Simplify the expression

7365 p^{3} - 1

Evaluate

p^{3} \times 7365 - 1

Solution

7365 p^{3} - 1

Show Solution

p = \frac{3 736 5 ^{2}}{7365}

Alternative Form

p \approx 0.051398

Evaluate

p^{3} \times 7365 - 1

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

p^{3} \times 7365 - 1 = 0

Use the commutative property to reorder the terms

7365 p^{3} - 1 = 0

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

7365 p^{3} = 0 + 1

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

7365 p^{3} = 1

Divide both sides

\frac{7365 p ^{3}}{7365} = \frac{1}{7365}

Divide the numbers

p^{3} = \frac{1}{7365}

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

3 p^{3} = 3 \frac{1}{7365}

Calculate

p = 3 \frac{1}{7365}

Solution

More Steps

Evaluate

3 \frac{1}{7365}

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

\frac{3 1}{3 7365}

Simplify the radical expression

\frac{1}{3 7365}

Multiply by the Conjugate

\frac{3 736 5 ^{2}}{3 7365 \times 3 736 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

37365 \times 3 736 5^{2}

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

3 7365 \times 736 5^{2}

Calculate the product

3 736 5^{3}

Reduce the index of the radical and exponent with 3

7365

\frac{3 736 5 ^{2}}{7365}

p = \frac{3 736 5 ^{2}}{7365}

Alternative Form

p \approx 0.051398

Show Solution