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 \((6.02 \times 10^{23}) \times (9.63 \times 10^{-2})\), you can use the laws of exponents to simplify the calculation.

  1. First, multiply the coefficients (the numbers in front): \[ 6.02 \times 9.63 = 57.9746 \]

  2. Next, multiply the powers of ten: \[ 10^{23} \times 10^{-2} = 10^{23 - 2} = 10^{21} \]

  3. Now, combine the results: \[ 57.9746 \times 10^{21} \]

You can express it in scientific notation: \[ 5.79746 \times 10^{22} \]

So, the final result is approximately: \[ 5.80 \times 10^{22} \] (when rounded to three significant figures).