Solve p^57663-1 - ScanMath

Question

Simplify the expression

Solution

7663 p^{5} - 1

Evaluate

p^{5} \times 7663 - 1

Solution

7663 p^{5} - 1

Show Solution

Find the roots of the algebra expression

p = \frac{5 766 3 ^{4}}{7663}

Alternative Form

p \approx 0.167155

Evaluate

p^{5} \times 7663 - 1

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

p^{5} \times 7663 - 1 = 0

Use the commutative property to reorder the terms

7663 p^{5} - 1 = 0

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

7663 p^{5} = 0 + 1

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

7663 p^{5} = 1

Divide both sides

\frac{7663 p ^{5}}{7663} = \frac{1}{7663}

Divide the numbers

p^{5} = \frac{1}{7663}

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

5 p^{5} = 5 \frac{1}{7663}

Calculate

p = 5 \frac{1}{7663}

Solution

More Steps

Evaluate

5 \frac{1}{7663}

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

\frac{5 1}{5 7663}

Simplify the radical expression

\frac{1}{5 7663}

Multiply by the Conjugate

\frac{5 766 3 ^{4}}{5 7663 \times 5 766 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

57663 \times 5 766 3^{4}

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

5 7663 \times 766 3^{4}

Calculate the product

5 766 3^{5}

Reduce the index of the radical and exponent with 5

7663

\frac{5 766 3 ^{4}}{7663}

p = \frac{5 766 3 ^{4}}{7663}

Alternative Form

p \approx 0.167155

Show Solution