Solve p^5469-63000

Question

Simplify the expression

469 p^{5} - 63000

Evaluate

p^{5} \times 469 - 63000

Solution

469 p^{5} - 63000

Show Solution

7 (67 p^{5} - 9000)

Evaluate

p^{5} \times 469 - 63000

Use the commutative property to reorder the terms

469 p^{5} - 63000

Solution

7 (67 p^{5} - 9000)

Show Solution

p = \frac{5 9000 \times 6 7 ^{4}}{67}

Alternative Form

p \approx 2.664609

Evaluate

p^{5} \times 469 - 63000

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

p^{5} \times 469 - 63000 = 0

Use the commutative property to reorder the terms

469 p^{5} - 63000 = 0

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

469 p^{5} = 0 + 63000

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

469 p^{5} = 63000

Divide both sides

\frac{469 p ^{5}}{469} = \frac{63000}{469}

Divide the numbers

p^{5} = \frac{63000}{469}

Cancel out the common factor 7

p^{5} = \frac{9000}{67}

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

5 p^{5} = 5 \frac{9000}{67}

Calculate

p = 5 \frac{9000}{67}

Solution

More Steps

Evaluate

5 \frac{9000}{67}

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

\frac{5 9000}{5 67}

Multiply by the Conjugate

\frac{5 9000 \times 5 6 7 ^{4}}{5 67 \times 5 6 7 ^{4}}

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

\frac{5 9000 \times 6 7 ^{4}}{5 67 \times 5 6 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

567 \times 5 6 7^{4}

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

5 67 \times 6 7^{4}

Calculate the product

5 6 7^{5}

Reduce the index of the radical and exponent with 5

67

\frac{5 9000 \times 6 7 ^{4}}{67}

p = \frac{5 9000 \times 6 7 ^{4}}{67}

Alternative Form

p \approx 2.664609

Show Solution