Question

7^6*7^3:(7^2)^5 упростите выражение

Answer 1

Я не уверен, но скорей всего так:

Answer 2

To simplify the expression 7^6 * 7^3 : (7^2)^5, we can use the rules of exponents. When multiplying two powers with the same base, we add their exponents. Similarly, when dividing two powers with the same base, we subtract their exponents. Let's simplify step by step:

Step 1: Simplify the numerator (7^6 * 7^3): 7^6 * 7^3 = 7^(6 + 3) = 7^9

Step 2: Simplify the denominator ((7^2)^5): (7^2)^5 = 7^(2 * 5) = 7^10

Now, the expression becomes: 7^9 : 7^10

Step 3: To divide two powers with the same base, we subtract their exponents: 7^9 : 7^10 = 7^(9 - 10) = 7^(-1)

Step 4: 7^(-1) is equal to 1 divided by 7^1: 7^(-1) = 1 / 7^1 = 1/7

So, the simplified expression is 1/7.