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

Question

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

Answer 1

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: $$\approx 5.80\times {10}^{22}\text{(rounded to three significant figures)}$$

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