Solve 99-12 p^477

Question

Simplify the expression

Solution

99 - 924 p^{4}

Evaluate

99 - 12 p^{4} \times 77

Solution

99 - 924 p^{4}

Show Solution

Factor the expression

Factor

33 (3 - 28 p^{4})

Evaluate

99 - 12 p^{4} \times 77

Multiply the terms

99 - 924 p^{4}

Solution

33 (3 - 28 p^{4})

Show Solution

Find the roots

Find the roots of the algebra expression

p_{1} = - \frac{4 4116}{14}, p_{2} = \frac{4 4116}{14}

Alternative Form

p_{1} \approx - 0.572125, p_{2} \approx 0.572125

Evaluate

99 - 12 p^{4} \times 77

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

99 - 12 p^{4} \times 77 = 0

Multiply the terms

99 - 924 p^{4} = 0

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

- 924 p^{4} = 0 - 99

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

- 924 p^{4} = - 99

Change the signs on both sides of the equation

924 p^{4} = 99

Divide both sides

\frac{924 p ^{4}}{924} = \frac{99}{924}

Divide the numbers

p^{4} = \frac{99}{924}

Cancel out the common factor 33

p^{4} = \frac{3}{28}

Take the root of both sides of the equation and remember to use both positive and negative roots

p = \pm 4 \frac{3}{28}

Simplify the expression

More Steps

Evaluate

4 \frac{3}{28}

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

\frac{4 3}{4 28}

Multiply by the Conjugate

\frac{4 3 \times 4 2 8 ^{3}}{4 28 \times 4 2 8 ^{3}}

Simplify

\frac{4 3 \times 2 4 1372}{4 28 \times 4 2 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

43 \times 241372

Multiply the terms

44116 \times 2

Use the commutative property to reorder the terms

244116

\frac{2 4 4116}{4 28 \times 4 2 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

428 \times 4 2 8^{3}

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

4 28 \times 2 8^{3}

Calculate the product

4 2 8^{4}

Reduce the index of the radical and exponent with 4

28

\frac{2 4 4116}{28}

Cancel out the common factor 2

\frac{4 4116}{14}

p = \pm \frac{4 4116}{14}

Separate the equation into 2 possible cases

p = \frac{4 4116}{14} p = - \frac{4 4116}{14}

Solution

p_{1} = - \frac{4 4116}{14}, p_{2} = \frac{4 4116}{14}

Alternative Form

p_{1} \approx - 0.572125, p_{2} \approx 0.572125

Show Solution

99 12 p^477

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression