Solve 8y^3 = 3-4 - ScanMath

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Type your math problem... 8y^3 = 3-4

Question

Solve the equation

y = - \frac{1}{2}

Alternative Form

y = - 0.5

Evaluate

8 y^{3} = 3 - 4

Subtract the numbers

8 y^{3} = - 1

Divide both sides

\frac{8 y ^{3}}{8} = \frac{- 1}{8}

Divide the numbers

y^{3} = \frac{- 1}{8}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

y^{3} = - \frac{1}{8}

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

3 y^{3} = 3 - \frac{1}{8}

Calculate

y = 3 - \frac{1}{8}

Solution

More Steps

Evaluate

3 - \frac{1}{8}

An odd root of a negative radicand is always a negative

- 3 \frac{1}{8}

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

- \frac{3 1}{3 8}

Simplify the radical expression

- \frac{1}{3 8}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

- \frac{1}{2}

y = - \frac{1}{2}

Alternative Form

y = - 0.5

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