Question

(8,2*10 в 12 степени)*(2,5*10 в 7 степени) (5,2*10 в -4 степени)*(3,4*10 в -3 степени) (4,5*10 в -5 степени)*(9*10 в -8 степени)

Answer 1

$8.2 \times 2.5 = 20.5$
${10}^{12} \times {10}^{7} = {10}^{19}$
Ответ
$20.5 \times {10}^{19} = 205000000000000000000$

$5.2 \times 3.4 = 17.68$
${10}^{ - 4} \times {10}^{ - 3} = {10}^{ - 7}$
Ответ
$17.68 \times {10}^{ - 7}$

$4.5 \times 9 = 40.5$
${10}^{ - 5} \times {10}^{ - 8} = {10}^{ - 13}$
Ответ
$40.5 \times {10}^{ - 13}$

Answer 2

To perform these multiplications, you can use the basic rules of multiplying numbers in scientific notation. When multiplying numbers in scientific notation, you multiply the coefficients (the numbers before the powers of 10) and then add the exponents of the 10.

Let's calculate each expression step by step:

1. (8.2 * 10^12) * (2.5 * 10^7)

Step 1: Multiply the coefficients: 8.2 * 2.5 = 20.5 Step 2: Add the exponents of 10: 12 + 7 = 19

Result: 20.5 * 10^19

2. (5.2 * 10^-4) * (3.4 * 10^-3)

Step 1: Multiply the coefficients: 5.2 * 3.4 = 17.68 Step 2: Add the exponents of 10: -4 + (-3) = -7

Result: 17.68 * 10^-7

3. (4.5 * 10^-5) * (9 * 10^-8)

Step 1: Multiply the coefficients: 4.5 * 9 = 40.5 Step 2: Add the exponents of 10: -5 + (-8) = -13

Result: 40.5 * 10^-13

So, the final results are:

1. (8.2 * 10^12) * (2.5 * 10^7) = 20.5 * 10^19
2. (5.2 * 10^-4) * (3.4 * 10^-3) = 17.68 * 10^-7
3. (4.5 * 10^-5) * (9 * 10^-8) = 40.5 * 10^-13