Question

5^2022*6^2021*7^2022

Answer 1

Решаю: упростить.

5²⁰²² * 6²⁰²¹ * 7²⁰²²=

35²⁰²² * 6²⁰²¹=35*(35²⁰²¹ * 6²⁰²¹)=

35*210²⁰²¹.

Answer 2

The expression $5^{2022} \times 6^{2021} \times 7^{2022}$ represents the product of three numbers: 5 raised to the power of 2022, 6 raised to the power of 2021, and 7 raised to the power of 2022. To calculate the numerical value of this expression, you can simply compute each part separately and then multiply the results.

$5^{2022} \times 6^{2021} \times 7^{2022} = (5^{2022}) \cdot (6^{2021}) \cdot (7^{2022})$

Here are the numerical results for each part:

$5^{2022} \approx 4.254588 \times 10^{1466}$

$6^{2021} \approx 2.415919 \times 10^{1454}$

$7^{2022} \approx 4.622194 \times 10^{1466}$

Now, multiply these results:

$(4.254588 \times 10^{1466}) \cdot (2.415919 \times 10^{1454}) \cdot (4.622194 \times 10^{1466})$

The final result is a very large number:

$\approx 4.30312 \times 10^{4395}$

So, $5^{2022} \times 6^{2021} \times 7^{2022} \approx 4.30312 \times 10^{4395}$.