Distance between Earth and Moon is $384,000,000 m=384\times {10}^x m$. Find the value of $x$.

Fill in the blanks:

The speed of the light in vacuum is $30,00,00,000 m/sec=3\times$_____ $m/sec$

Express the number $978$ in index form as power of $10$ taking $1, 2$ and $3$ places of decimal.

Express the number $159217$ in index form as power of $10$ taking $1, 2$ and $3$ places of decimal.

Form the number from its expanded form given below:

$3\times {10}^3+2\times {10}^2+7\times 10+2$

Form the number from its expanded form given below:

$2\times {10}^3+3\times 10+5$

Form the number from its expanded form given below:

$8\times {10}^4+2\times {10}^3+3\times {10}^2+6$

Form the number from its expanded form given below:

$9\times {10}^4+5\times {10}^3+6\times {10}^2+7\times 10$

Simplify and express it in power form: $\frac{2^3\times 3^5\times 16}{3\times 32}$