Solve p^51184-1 - ScanMath

Question

Simplify the expression

1184 p^{5} - 1

Evaluate

p^{5} \times 1184 - 1

Solution

1184 p^{5} - 1

Show Solution

p = \frac{5 3 7 ^{4}}{74}

Alternative Form

p \approx 0.242845

Evaluate

p^{5} \times 1184 - 1

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

p^{5} \times 1184 - 1 = 0

Use the commutative property to reorder the terms

1184 p^{5} - 1 = 0

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

1184 p^{5} = 0 + 1

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

1184 p^{5} = 1

Divide both sides

\frac{1184 p ^{5}}{1184} = \frac{1}{1184}

Divide the numbers

p^{5} = \frac{1}{1184}

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

5 p^{5} = 5 \frac{1}{1184}

Calculate

p = 5 \frac{1}{1184}

Solution

More Steps

Evaluate

5 \frac{1}{1184}

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

\frac{5 1}{5 1184}

Simplify the radical expression

\frac{1}{5 1184}

Simplify the radical expression

More Steps

Evaluate

51184

Write the expression as a product where the root of one of the factors can be evaluated

5 32 \times 37

Write the number in exponential form with the base of 2

5 2^{5} \times 37

The root of a product is equal to the product of the roots of each factor

5 2^{5} \times 537

Reduce the index of the radical and exponent with 5

2537

\frac{1}{2 5 37}

Multiply by the Conjugate

\frac{5 3 7 ^{4}}{2 5 37 \times 5 3 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

2537 \times 5 3 7^{4}

Multiply the terms

2 \times 37

Multiply the terms

74

\frac{5 3 7 ^{4}}{74}

p = \frac{5 3 7 ^{4}}{74}

Alternative Form

p \approx 0.242845

Show Solution