Solve p^52600-1 - ScanMath

Question

Simplify the expression

Solution

2600 p^{5} - 1

Evaluate

p^{5} \times 2600 - 1

Solution

2600 p^{5} - 1

Show Solution

Find the roots of the algebra expression

p = \frac{5 260 0 ^{4}}{2600}

Alternative Form

p \approx 0.207494

Evaluate

p^{5} \times 2600 - 1

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

p^{5} \times 2600 - 1 = 0

Use the commutative property to reorder the terms

2600 p^{5} - 1 = 0

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

2600 p^{5} = 0 + 1

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

2600 p^{5} = 1

Divide both sides

\frac{2600 p ^{5}}{2600} = \frac{1}{2600}

Divide the numbers

p^{5} = \frac{1}{2600}

Take the 5 -th root on both sides of the equation

5 p^{5} = 5 \frac{1}{2600}

Calculate

p = 5 \frac{1}{2600}

Solution

More Steps

Evaluate

5 \frac{1}{2600}

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

\frac{5 1}{5 2600}

Simplify the radical expression

\frac{1}{5 2600}

Multiply by the Conjugate

\frac{5 260 0 ^{4}}{5 2600 \times 5 260 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

52600 \times 5 260 0^{4}

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

5 2600 \times 260 0^{4}

Calculate the product

5 260 0^{5}

Reduce the index of the radical and exponent with 5

2600

\frac{5 260 0 ^{4}}{2600}

p = \frac{5 260 0 ^{4}}{2600}

Alternative Form

p \approx 0.207494

Show Solution