Question

Write the missing power of 10 in the exponential form…….*0.006=0.6

Answer 1

10 to the second power

`10^2`

Step-by-step explanation:

Let the unknown value be x

The given expression can be rewritten as:

`x*0.006=0.6`

Express as a fraction;

`\begin{gathered} x*(6)/(1000)=(6)/(10) \\ (6x)/(1000)=(6)/(10) \\ \end{gathered}`

Cross multiply

`\begin{gathered} 6x*10=6*1000 \\ 60x=6000 \\ x=(6000)/(60) \\ x=100 \\ x=10^2 \end{gathered}`

Hence the required unknown number in the exponential power of 10 is 10^2