Solve p^47642-1 - ScanMath

Question

Simplify the expression

Solution

7642 p^{4} - 1

Evaluate

p^{4} \times 7642 - 1

Solution

7642 p^{4} - 1

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Find the roots of the algebra expression

p_{1} = - \frac{4 764 2 ^{3}}{7642}, p_{2} = \frac{4 764 2 ^{3}}{7642}

Alternative Form

p_{1} \approx - 0.106954, p_{2} \approx 0.106954

Evaluate

p^{4} \times 7642 - 1

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

p^{4} \times 7642 - 1 = 0

Use the commutative property to reorder the terms

7642 p^{4} - 1 = 0

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

7642 p^{4} = 0 + 1

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

7642 p^{4} = 1

Divide both sides

\frac{7642 p ^{4}}{7642} = \frac{1}{7642}

Divide the numbers

p^{4} = \frac{1}{7642}

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

p = \pm 4 \frac{1}{7642}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{7642}

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

\frac{4 1}{4 7642}

Simplify the radical expression

\frac{1}{4 7642}

Multiply by the Conjugate

\frac{4 764 2 ^{3}}{4 7642 \times 4 764 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

47642 \times 4 764 2^{3}

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

4 7642 \times 764 2^{3}

Calculate the product

4 764 2^{4}

Reduce the index of the radical and exponent with 4

7642

\frac{4 764 2 ^{3}}{7642}

p = \pm \frac{4 764 2 ^{3}}{7642}

Separate the equation into 2 possible cases

p = \frac{4 764 2 ^{3}}{7642} p = - \frac{4 764 2 ^{3}}{7642}

Solution

p_{1} = - \frac{4 764 2 ^{3}}{7642}, p_{2} = \frac{4 764 2 ^{3}}{7642}

Alternative Form

p_{1} \approx - 0.106954, p_{2} \approx 0.106954

Show Solution