Solve 3 8x^5 1/243 x^5 4/27x

Question

Simplify the expression

\frac{152}{6561} x^{11}

Evaluate

38 x^{5} \times \frac{1}{243} x^{5} \times \frac{4}{27} x

Multiply the terms

More Steps

Evaluate

38 \times \frac{1}{243} \times \frac{4}{27}

Multiply the numbers

\frac{38}{243} \times \frac{4}{27}

To multiply the fractions,multiply the numerators and denominators separately

\frac{38 \times 4}{243 \times 27}

Multiply the numbers

\frac{152}{243 \times 27}

Multiply the numbers

\frac{152}{6561}

\frac{152}{6561} x^{5} \times x^{5} \times x

Multiply the terms with the same base by adding their exponents

\frac{152}{6561} x^{5 + 5 + 1}

Solution

\frac{152}{6561} x^{11}

Show Solution

x = 0

Evaluate

38 x^{5} \times \frac{1}{243} x^{5} \times \frac{4}{27} x

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

38 x^{5} \times \frac{1}{243} x^{5} \times \frac{4}{27} x = 0

Multiply

More Steps

Multiply the terms

38 x^{5} \times \frac{1}{243} x^{5} \times \frac{4}{27} x

Multiply the terms

More Steps

Evaluate

38 \times \frac{1}{243} \times \frac{4}{27}

Multiply the numbers

\frac{38}{243} \times \frac{4}{27}

To multiply the fractions,multiply the numerators and denominators separately

\frac{38 \times 4}{243 \times 27}

Multiply the numbers

\frac{152}{243 \times 27}

Multiply the numbers

\frac{152}{6561}

\frac{152}{6561} x^{5} \times x^{5} \times x

Multiply the terms with the same base by adding their exponents

\frac{152}{6561} x^{5 + 5 + 1}

Add the numbers

\frac{152}{6561} x^{11}

\frac{152}{6561} x^{11} = 0

Rewrite the expression

x^{11} = 0

Solution

x = 0

Show Solution