Evaluate (3.00¡Á¡¼10¡½^12 )¡Á(2.40¡Á¡¼10¡½^(-20) ))/(8.00¡Á¡¼10¡½^(-1)
To evaluate the given expression:
(3.00 × 10^12) × (2.40 × 10^(-20)) / (8.00 × 10^(-1))
We can simplify it step by step:
1. Multiply the numbers:
(3.00 × 2.40) × 10^12 × 10^(-20) / (8.00 × 10^(-1))
= 7.20 × 10^12 × 10^(-20) / (8.00 × 10^(-1))
2. Multiply the powers of 10:
= 7.20 × 10^(12 + (-20)) / (8.00 × 10^(-1))
= 7.20 × 10^(-8) / (8.00 × 10^(-1))
3. Divide the numbers:
= 0.90 × 10^(-8)
Finally, we express this in standard notation:
= 9.0 × 10^(-9)
Therefore, the value of the given expression is 9.0 × 10^(-9).