Solve sqrt((1/10)^3 1)*x 1/5

Question

Simplify the expression

\frac{10}{500} x

Evaluate

(\frac{1}{10})^{3} \times 1 \times x \times \frac{1}{5}

Any expression multiplied by 1 remains the same

(\frac{1}{10})^{3} \times x \times \frac{1}{5}

Simplify the root

More Steps

Evaluate

(\frac{1}{10})^{3}

Rewrite the expression

\frac{1}{1 0 ^{3}}

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

\frac{1}{1 0 ^{3}}

Simplify the radical expression

\frac{1}{1 0 ^{3}}

Simplify the radical expression

More Steps

Evaluate

1 0^{3}

Rewrite the exponent as a sum where one of the addends is a multiple of the index

1 0^{2 + 1}

Use a^{m + n} = a^{m} \times a^{n} to expand the expression

1 0^{2} \times 10

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

1 0^{2} \times 10

Reduce the index of the radical and exponent with 2

1010

\frac{1}{10 10}

Multiply by the Conjugate

\frac{10}{10 10 \times 10}

Multiply the numbers

More Steps

Evaluate

1010 \times 10

When a square root of an expression is multiplied by itself,the result is that expression

10 \times 10

Multiply the numbers

100

\frac{10}{100}

\frac{10}{100} x \times \frac{1}{5}

Solution

More Steps

Evaluate

\frac{10}{100} \times \frac{1}{5}

To multiply the fractions,multiply the numerators and denominators separately

\frac{10}{100 \times 5}

Multiply the numbers

\frac{10}{500}

\frac{10}{500} x

Show Solution

Find the roots

x = 0

Evaluate

(\frac{1}{10})^{3} \times 1 \times x \times \frac{1}{5}

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

(\frac{1}{10})^{3} \times 1 \times x \times \frac{1}{5} = 0

Any expression multiplied by 1 remains the same

(\frac{1}{10})^{3} \times x \times \frac{1}{5} = 0

Simplify the root

More Steps

Evaluate

(\frac{1}{10})^{3}

Rewrite the expression

\frac{1}{1 0 ^{3}}

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

\frac{1}{1 0 ^{3}}

Simplify the radical expression

\frac{1}{1 0 ^{3}}

Simplify the radical expression

More Steps

Evaluate

1 0^{3}

Rewrite the exponent as a sum where one of the addends is a multiple of the index

1 0^{2 + 1}

Use a^{m + n} = a^{m} \times a^{n} to expand the expression

1 0^{2} \times 10

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

1 0^{2} \times 10

Reduce the index of the radical and exponent with 2

1010

\frac{1}{10 10}

Multiply by the Conjugate

\frac{10}{10 10 \times 10}

Multiply the numbers

More Steps

Evaluate

1010 \times 10

When a square root of an expression is multiplied by itself,the result is that expression

10 \times 10

Multiply the numbers

100

\frac{10}{100}

\frac{10}{100} x \times \frac{1}{5} = 0

Multiply the terms

More Steps

Multiply the terms

\frac{10}{100} x \times \frac{1}{5}

Multiply the terms

More Steps

Evaluate

\frac{10}{100} \times \frac{1}{5}

To multiply the fractions,multiply the numerators and denominators separately

\frac{10}{100 \times 5}

Multiply the numbers

\frac{10}{500}

\frac{10}{500} x

\frac{10}{500} x = 0

Solution

x = 0

Show Solution