Question

Вычислите √2^6*3^4*7^2

Answer 1

√(2^6*3^4*7^2)=2^3*3^2*7=8*9*7=504

Answer 2

To calculate the value of the expression √(2^6 * 3^4 * 7^2), we simply need to evaluate the exponentiation first and then find the square root of the result.

Let's start by calculating the exponentiation:

2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64 3^4 = 3 * 3 * 3 * 3 = 81 7^2 = 7 * 7 = 49

Now, let's multiply the results together:

64 * 81 * 49 = 314,928

Finally, find the square root of 314,928:

√314,928 ≈ 561.37

So, the value of √(2^6 * 3^4 * 7^2) is approximately 561.37.