use the exponent function on your calculator (ee or exp) to compute the following.

(6.02 x 10^(23) (9.63 x 10^(-2)

1 answer

To compute the expression \( (6.02 \times 10^{23}) \times (9.63 \times 10^{-2}) \), follow these steps:

  1. Multiply the coefficients: \[ 6.02 \times 9.63 = 57.9796 \]

  2. Add the exponents: \[ 10^{23} \times 10^{-2} = 10^{(23 - 2)} = 10^{21} \]

  3. Combine the results: \[ 57.9796 \times 10^{21} \]

In scientific notation, it's conventional to have only one non-zero digit to the left of the decimal point. So, we can express \( 57.9796 \) as \( 5.79796 \times 10^{1} \).

Thus, the final result is: \[ 5.79796 \times 10^{1} \times 10^{21} = 5.79796 \times 10^{22} \]

So, the calculation yields: \[ \approx 5.80 \times 10^{22} \quad \text{(rounded to three significant figures)} \]

Thus, the final answer is \( 5.80 \times 10^{22} \).