Solve 40y^35=20 - ScanMath

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Type your math problem... 40y^35=20

Question

Solve the equation

y = \frac{3 100}{10}

Alternative Form

y \approx 0.464159

Evaluate

40 y^{3} \times 5 = 20

Multiply the terms

200 y^{3} = 20

Divide both sides

\frac{200 y ^{3}}{200} = \frac{20}{200}

Divide the numbers

y^{3} = \frac{20}{200}

Cancel out the common factor 20

y^{3} = \frac{1}{10}

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

3 y^{3} = 3 \frac{1}{10}

Calculate

y = 3 \frac{1}{10}

Solution

More Steps

Evaluate

3 \frac{1}{10}

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

\frac{3 1}{3 10}

Simplify the radical expression

\frac{1}{3 10}

Multiply by the Conjugate

\frac{3 1 0 ^{2}}{3 10 \times 3 1 0 ^{2}}

Simplify

\frac{3 100}{3 10 \times 3 1 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

310 \times 3 1 0^{2}

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

3 10 \times 1 0^{2}

Calculate the product

3 1 0^{3}

Reduce the index of the radical and exponent with 3

10

\frac{3 100}{10}

y = \frac{3 100}{10}

Alternative Form

y \approx 0.464159

Show Solution

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