Solve v^30162-1 - ScanMath

Question

Simplify the expression

162 v^{3} - 1

Evaluate

v^{3} \times 162 - 1

Solution

162 v^{3} - 1

Show Solution

v = \frac{3 36}{18}

Alternative Form

v \approx 0.18344

Evaluate

v^{3} \times 162 - 1

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

v^{3} \times 162 - 1 = 0

Use the commutative property to reorder the terms

162 v^{3} - 1 = 0

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

162 v^{3} = 0 + 1

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

162 v^{3} = 1

Divide both sides

\frac{162 v ^{3}}{162} = \frac{1}{162}

Divide the numbers

v^{3} = \frac{1}{162}

Take the 3 -th root on both sides of the equation

3 v^{3} = 3 \frac{1}{162}

Calculate

v = 3 \frac{1}{162}

Solution

More Steps

Evaluate

3 \frac{1}{162}

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

\frac{3 1}{3 162}

Simplify the radical expression

\frac{1}{3 162}

Simplify the radical expression

More Steps

Evaluate

3162

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

3 27 \times 6

Write the number in exponential form with the base of 3

3 3^{3} \times 6

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

3 3^{3} \times 36

Reduce the index of the radical and exponent with 3

336

\frac{1}{3 3 6}

Multiply by the Conjugate

\frac{3 6 ^{2}}{3 3 6 \times 3 6 ^{2}}

Simplify

\frac{3 36}{3 3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

336 \times 3 6^{2}

Multiply the terms

3 \times 6

Multiply the terms

18

\frac{3 36}{18}

v = \frac{3 36}{18}

Alternative Form

v \approx 0.18344

Show Solution