Solve p^550018-169

Question

Simplify the expression

50018 p^{5} - 169

Evaluate

p^{5} \times 50018 - 169

Solution

50018 p^{5} - 169

Show Solution

p = \frac{5 169 \times 5001 8 ^{4}}{50018}

Alternative Form

p \approx 0.320444

Evaluate

p^{5} \times 50018 - 169

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

p^{5} \times 50018 - 169 = 0

Use the commutative property to reorder the terms

50018 p^{5} - 169 = 0

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

50018 p^{5} = 0 + 169

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

50018 p^{5} = 169

Divide both sides

\frac{50018 p ^{5}}{50018} = \frac{169}{50018}

Divide the numbers

p^{5} = \frac{169}{50018}

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

5 p^{5} = 5 \frac{169}{50018}

Calculate

p = 5 \frac{169}{50018}

Solution

More Steps

Evaluate

5 \frac{169}{50018}

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

\frac{5 169}{5 50018}

Multiply by the Conjugate

\frac{5 169 \times 5 5001 8 ^{4}}{5 50018 \times 5 5001 8 ^{4}}

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

\frac{5 169 \times 5001 8 ^{4}}{5 50018 \times 5 5001 8 ^{4}}

Multiply the numbers

More Steps

Evaluate

550018 \times 5 5001 8^{4}

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

5 50018 \times 5001 8^{4}

Calculate the product

5 5001 8^{5}

Reduce the index of the radical and exponent with 5

50018

\frac{5 169 \times 5001 8 ^{4}}{50018}

p = \frac{5 169 \times 5001 8 ^{4}}{50018}

Alternative Form

p \approx 0.320444

Show Solution