Solve p^51434-1 - ScanMath

Question

Simplify the expression

1434 p^{5} - 1

Evaluate

p^{5} \times 1434 - 1

Solution

1434 p^{5} - 1

Show Solution

p = \frac{5 143 4 ^{4}}{1434}

Alternative Form

p \approx 0.233717

Evaluate

p^{5} \times 1434 - 1

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

p^{5} \times 1434 - 1 = 0

Use the commutative property to reorder the terms

1434 p^{5} - 1 = 0

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

1434 p^{5} = 0 + 1

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

1434 p^{5} = 1

Divide both sides

\frac{1434 p ^{5}}{1434} = \frac{1}{1434}

Divide the numbers

p^{5} = \frac{1}{1434}

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

5 p^{5} = 5 \frac{1}{1434}

Calculate

p = 5 \frac{1}{1434}

Solution

More Steps

Evaluate

5 \frac{1}{1434}

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

\frac{5 1}{5 1434}

Simplify the radical expression

\frac{1}{5 1434}

Multiply by the Conjugate

\frac{5 143 4 ^{4}}{5 1434 \times 5 143 4 ^{4}}

Multiply the numbers

More Steps

Evaluate

51434 \times 5 143 4^{4}

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

5 1434 \times 143 4^{4}

Calculate the product

5 143 4^{5}

Reduce the index of the radical and exponent with 5

1434

\frac{5 143 4 ^{4}}{1434}

p = \frac{5 143 4 ^{4}}{1434}

Alternative Form

p \approx 0.233717

Show Solution