Solve R^507-162-0

Question

Simplify the expression

7 R^{5} - 162

Evaluate

R^{5} \times 7 - 162 - 0

Use the commutative property to reorder the terms

7 R^{5} - 162 - 0

Solution

7 R^{5} - 162

Show Solution

R = \frac{5 388962}{7}

Alternative Form

R \approx 1.874491

Evaluate

R^{5} \times 7 - 162 - 0

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

R^{5} \times 7 - 162 - 0 = 0

Use the commutative property to reorder the terms

7 R^{5} - 162 - 0 = 0

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

7 R^{5} - 162 = 0

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

7 R^{5} = 0 + 162

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

7 R^{5} = 162

Divide both sides

\frac{7 R ^{5}}{7} = \frac{162}{7}

Divide the numbers

R^{5} = \frac{162}{7}

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

5 R^{5} = 5 \frac{162}{7}

Calculate

R = 5 \frac{162}{7}

Solution

More Steps

Evaluate

5 \frac{162}{7}

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

\frac{5 162}{5 7}

Multiply by the Conjugate

\frac{5 162 \times 5 7 ^{4}}{5 7 \times 5 7 ^{4}}

Simplify

\frac{5 162 \times 5 2401}{5 7 \times 5 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

5162 \times 52401

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

5 162 \times 2401

Calculate the product

5388962

\frac{5 388962}{5 7 \times 5 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

57 \times 5 7^{4}

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

5 7 \times 7^{4}

Calculate the product

5 7^{5}

Reduce the index of the radical and exponent with 5

7

\frac{5 388962}{7}

R = \frac{5 388962}{7}

Alternative Form

R \approx 1.874491

Show Solution