Solve p^6520-2-2 - ScanMath

Question

Simplify the expression

520 p^{6} - 4

Evaluate

p^{6} \times 520 - 2 - 2

Use the commutative property to reorder the terms

520 p^{6} - 2 - 2

Solution

520 p^{6} - 4

Show Solution

4 (130 p^{6} - 1)

Evaluate

p^{6} \times 520 - 2 - 2

Use the commutative property to reorder the terms

520 p^{6} - 2 - 2

Subtract the numbers

520 p^{6} - 4

Solution

4 (130 p^{6} - 1)

Show Solution

p_{1} = - \frac{6 13 0 ^{5}}{130}, p_{2} = \frac{6 13 0 ^{5}}{130}

Alternative Form

p_{1} \approx - 0.4443, p_{2} \approx 0.4443

Evaluate

p^{6} \times 520 - 2 - 2

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

p^{6} \times 520 - 2 - 2 = 0

Use the commutative property to reorder the terms

520 p^{6} - 2 - 2 = 0

Subtract the numbers

520 p^{6} - 4 = 0

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

520 p^{6} = 0 + 4

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

520 p^{6} = 4

Divide both sides

\frac{520 p ^{6}}{520} = \frac{4}{520}

Divide the numbers

p^{6} = \frac{4}{520}

Cancel out the common factor 4

p^{6} = \frac{1}{130}

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

p = \pm 6 \frac{1}{130}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{130}

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

\frac{6 1}{6 130}

Simplify the radical expression

\frac{1}{6 130}

Multiply by the Conjugate

\frac{6 13 0 ^{5}}{6 130 \times 6 13 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

6130 \times 6 13 0^{5}

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

6 130 \times 13 0^{5}

Calculate the product

6 13 0^{6}

Reduce the index of the radical and exponent with 6

130

\frac{6 13 0 ^{5}}{130}

p = \pm \frac{6 13 0 ^{5}}{130}

Separate the equation into 2 possible cases

p = \frac{6 13 0 ^{5}}{130} p = - \frac{6 13 0 ^{5}}{130}

Solution

p_{1} = - \frac{6 13 0 ^{5}}{130}, p_{2} = \frac{6 13 0 ^{5}}{130}

Alternative Form

p_{1} \approx - 0.4443, p_{2} \approx 0.4443

Show Solution