Solve 1/2a 1/6a 1/15a

Question

Simplify the expression

\frac{1}{180} a^{3}

Evaluate

\frac{1}{2} a \times \frac{1}{6} a \times \frac{1}{15} a

Rewrite the expression in exponential form

\frac{1}{2} a^{3} \times \frac{1}{6} \times \frac{1}{15}

Solution

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{6} \times \frac{1}{15}

Multiply the terms

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{6}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 6}

Multiply the numbers

\frac{1}{12}

\frac{1}{12} \times \frac{1}{15}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{12 \times 15}

Multiply the numbers

\frac{1}{180}

\frac{1}{180} a^{3}

Show Solution

a = 0

Evaluate

\frac{1}{2} a \times \frac{1}{6} a \times \frac{1}{15} a

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

\frac{1}{2} a \times \frac{1}{6} a \times \frac{1}{15} a = 0

Multiply

More Steps

Multiply the terms

\frac{1}{2} a \times \frac{1}{6} a \times \frac{1}{15} a

Multiply the terms

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{6} \times \frac{1}{15}

Multiply the terms

\frac{1}{12} \times \frac{1}{15}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{12 \times 15}

Multiply the numbers

\frac{1}{180}

\frac{1}{180} a \times a \times a

Multiply the terms with the same base by adding their exponents

\frac{1}{180} a^{1 + 1 + 1}

Add the numbers

\frac{1}{180} a^{3}

\frac{1}{180} a^{3} = 0

Rewrite the expression

a^{3} = 0

Solution

a = 0

Show Solution