Question

evaluate the expression.
$(4.1 \times 10^{-2}) \times (2 \times 10^{4})$
$\square \times 10^{\square}$

Explanation:

Step1: Group coefficients and powers

$(4.1 \times 2) \times (10^{-2} \times 10^{4})$

Step2: Multiply the coefficients

$4.1 \times 2 = 8.2$

Step3: Multiply the powers of 10

$10^{-2} \times 10^{4} = 10^{-2+4} = 10^{2}$

Step4: Combine the results

$8.2 \times 10^{2}$

Answer:

$8.2 \times 10^{2}$