Solve p^54-6164-110

Question

Simplify the expression

4 p^{5} - 6274

Evaluate

p^{5} \times 4 - 6164 - 110

Use the commutative property to reorder the terms

4 p^{5} - 6164 - 110

Solution

4 p^{5} - 6274

Show Solution

2 (2 p^{5} - 3137)

Evaluate

p^{5} \times 4 - 6164 - 110

Use the commutative property to reorder the terms

4 p^{5} - 6164 - 110

Subtract the numbers

4 p^{5} - 6274

Solution

2 (2 p^{5} - 3137)

Show Solution

p = \frac{5 50192}{2}

Alternative Form

p \approx 4.356091

Evaluate

p^{5} \times 4 - 6164 - 110

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

p^{5} \times 4 - 6164 - 110 = 0

Use the commutative property to reorder the terms

4 p^{5} - 6164 - 110 = 0

Subtract the numbers

4 p^{5} - 6274 = 0

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

4 p^{5} = 0 + 6274

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

4 p^{5} = 6274

Divide both sides

\frac{4 p ^{5}}{4} = \frac{6274}{4}

Divide the numbers

p^{5} = \frac{6274}{4}

Cancel out the common factor 2

p^{5} = \frac{3137}{2}

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

5 p^{5} = 5 \frac{3137}{2}

Calculate

p = 5 \frac{3137}{2}

Solution

More Steps

Evaluate

5 \frac{3137}{2}

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

\frac{5 3137}{5 2}

Multiply by the Conjugate

\frac{5 3137 \times 5 2 ^{4}}{5 2 \times 5 2 ^{4}}

Simplify

\frac{5 3137 \times 5 16}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

53137 \times 516

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

5 3137 \times 16

Calculate the product

550192

\frac{5 50192}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

52 \times 5 2^{4}

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

5 2 \times 2^{4}

Calculate the product

5 2^{5}

Reduce the index of the radical and exponent with 5

2

\frac{5 50192}{2}

p = \frac{5 50192}{2}

Alternative Form

p \approx 4.356091

Show Solution