Solve p^500310-9 - ScanMath

Question

Simplify the expression

310 p^{5} - 9

Evaluate

p^{5} \times 310 - 9

Solution

310 p^{5} - 9

Show Solution

p = \frac{5 9 \times 31 0 ^{4}}{310}

Alternative Form

p \approx 0.492693

Evaluate

p^{5} \times 310 - 9

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

p^{5} \times 310 - 9 = 0

Use the commutative property to reorder the terms

310 p^{5} - 9 = 0

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

310 p^{5} = 0 + 9

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

310 p^{5} = 9

Divide both sides

\frac{310 p ^{5}}{310} = \frac{9}{310}

Divide the numbers

p^{5} = \frac{9}{310}

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

5 p^{5} = 5 \frac{9}{310}

Calculate

p = 5 \frac{9}{310}

Solution

More Steps

Evaluate

5 \frac{9}{310}

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

\frac{5 9}{5 310}

Multiply by the Conjugate

\frac{5 9 \times 5 31 0 ^{4}}{5 310 \times 5 31 0 ^{4}}

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

\frac{5 9 \times 31 0 ^{4}}{5 310 \times 5 31 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

5310 \times 5 31 0^{4}

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

5 310 \times 31 0^{4}

Calculate the product

5 31 0^{5}

Reduce the index of the radical and exponent with 5

310

\frac{5 9 \times 31 0 ^{4}}{310}

p = \frac{5 9 \times 31 0 ^{4}}{310}

Alternative Form

p \approx 0.492693

Show Solution