We are given the following relationship:
[tex]0.06\times10^x=6[/tex]To find the exponent we need to have into account that to transform 0.06 into 6 we need to move the decimal point 2 units to the right, therefore, the exponents must be 2, that is:
[tex]0.06\times10^2=6[/tex]Now we are given the following:
[tex]0.06\times10^3[/tex]In this case, we have to move the decimal point 3 spaces to the right, like this:
[tex]0.06\times10^3=60[/tex]