Question

evaluate 2 x 3^2 x (1/6)^3

Answer 1

Answer:

Easy

Step-by-step explanation:

$2x\cdot \:3^2x\left(\frac{1}{6}\right)^3$

$=2x^2\cdot \:3^2\left(\frac{1}{6}\right)^3$

$=2\cdot \:3^2\left(\frac{1}{6}\right)^3x^2$

$=2\cdot \:9\left(\frac{1}{6}\right)^3x^2$

$=2\cdot \:9\cdot \frac{1}{216}x^2$

$=18\cdot \frac{1}{216}x^2$

$=18\cdot \frac{1}{216}x^2$

$=\frac{18\cdot \:1\cdot \:x^2}{216}$

$=\frac{18x^2}{216}\\=\frac{x^2}{12}$

Answer 2

Answer:

$\frac{1}{12}$

Step-by-step explanation:

• Given expression: $2\times3^{2} \times(\frac{1}{6} )^{3}$

• As we know $x^{n}=x\times x\times x\times ... n$ times

• By using the above formula, the equation can be written as

$=2\times3\times3\times\frac{1}{6} \times\frac{1}{6} \times\frac{1}{6}$

• On simplifying the above expression, we get

$=\frac{1}{12}$

Hence, the value of $2\times3^{2} \times(\frac{1}{6} )^{3}$ is $\frac{1}{12}$.