Solve 20g^520-2 - ScanMath

Question

Simplify the expression

400 g^{5} - 2

Evaluate

20 g^{5} \times 20 - 2

Solution

400 g^{5} - 2

Show Solution

2 (200 g^{5} - 1)

Evaluate

20 g^{5} \times 20 - 2

Multiply the terms

400 g^{5} - 2

Solution

2 (200 g^{5} - 1)

Show Solution

g = \frac{5 20 0 ^{4}}{200}

Alternative Form

g \approx 0.346572

Evaluate

20 g^{5} \times 20 - 2

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

20 g^{5} \times 20 - 2 = 0

Multiply the terms

400 g^{5} - 2 = 0

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

400 g^{5} = 0 + 2

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

400 g^{5} = 2

Divide both sides

\frac{400 g ^{5}}{400} = \frac{2}{400}

Divide the numbers

g^{5} = \frac{2}{400}

Cancel out the common factor 2

g^{5} = \frac{1}{200}

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

5 g^{5} = 5 \frac{1}{200}

Calculate

g = 5 \frac{1}{200}

Solution

More Steps

Evaluate

5 \frac{1}{200}

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

\frac{5 1}{5 200}

Simplify the radical expression

\frac{1}{5 200}

Multiply by the Conjugate

\frac{5 20 0 ^{4}}{5 200 \times 5 20 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

5200 \times 5 20 0^{4}

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

5 200 \times 20 0^{4}

Calculate the product

5 20 0^{5}

Reduce the index of the radical and exponent with 5

200

\frac{5 20 0 ^{4}}{200}

g = \frac{5 20 0 ^{4}}{200}

Alternative Form

g \approx 0.346572

Show Solution