Question

(7^5)^4 : (7^2)^9 найти значение выражения

Answer 1

$\frac{(7^5)^4}{(7^2)^9}= \frac{7^{20}}{7^{18}} = 7^{20-18}=7^2=49$

Answer 2

(7^5)^4:(7^2)^9=7^20:7^18=7^2

Answer 3

To find the value of the expression (7^5)^4 : (7^2)^9, you can use the properties of exponents.

First, calculate the exponents inside the parentheses:

(7^5)^4 = 7^(5*4) = 7^20

(7^2)^9 = 7^(2*9) = 7^18

Now, divide the two results:

(7^5)^4 : (7^2)^9 = 7^20 / 7^18

When dividing numbers with the same base (in this case, 7), you subtract the exponents:

7^(20-18) = 7^2

Therefore, the value of the expression is 7^2, which equals 49.