To calculate \( \frac{1.95 \times 10^6}{8.03 \times 10^{-8}} \), you can separate the coefficients and the powers of ten:
-
Divide the coefficients: \[ \frac{1.95}{8.03} \approx 0.243 \]
-
Subtract the exponents (using the properties of exponents \( a^m / a^n = a^{m-n} \)): \[ 10^{6 - (-8)} = 10^{6 + 8} = 10^{14} \]
-
Combine the results: \[ 0.243 \times 10^{14} \]
-
Convert to scientific notation (if necessary, moving the decimal point to the right one place will increase the exponent by 1): \[ 2.43 \times 10^{13} \]
So, \( \frac{1.95 \times 10^6}{8.03 \times 10^{-8}} \approx 2.43 \times 10^{13} \).