Answer:
5 * 10^3.
Step-by-step explanation:
First split it into 2 divisions:
4 .5 / 9 = 0.5 and
10^8 / 10^4 = 10^(8-4) = 10^4.
So we have 0.5 * 10^4 which in standard scientific form is
5 * 10^3.
1. Changing the 4.5 to standard form ,thus 45×10^-1
Now the top equation becomes
45×(10^-1 ×10^8)
Since they are numbers of they same base (base 10),you take only one of the base and add the exponent (1st law of indices) ,thus 10^-1+8 = 10^7
Then the overall equation becomes 45×10^7/ 9×10^4
Since they are numbers of the same base (base 10) and are dividing each other you take one of the base and subtract the exponent (2nd law of indices ) so de equation becomes 45÷9 × 10^7-4
= 5×10^3 in standard form, as the final answer
