Step 1: Understanding the Expression
The expression to solve is:
3 * 10^8 / (2.5 * 10^4 * 10^-9)
This involves basic arithmetic operations and the rules of exponents.
Step 2: Simplifying the Denominator
First, simplify the denominator:
- Combine 10^4 and 10^-9 using the law of exponents:
10^4 * 10^-9 = 10^(4-9) = 10^-5
Thus, the denominator becomes:
2.5 * 10^-5
Step 3: Rewriting the Expression
Now, rewrite the expression:
3 * 10^8 / (2.5 * 10^-5)
Step 4: Dividing the Numbers
Next, divide 3 by 2.5:
- 3 / 2.5 = 1.2
Now, the expression is:
1.2 * 10^8 / 10^-5
Step 5: Simplifying the Exponents
Now, apply the rule of exponents:
10^8 / 10^-5 = 10^(8 - (-5)) = 10^(8 + 5) = 10^13
Combining this with 1.2 gives:
1.2 * 10^13
Final Result
Thus, the final result of the expression 3 * 10^8 / (2.5 * 10^4 * 10^-9) is:
1.2 * 10^13
This indicates that the value is 1.2 multiplied by 10 raised to the power of 13.