Question

2^3*2^5=2^8; 5^2*5^3=5^5; 2^7*2=2^8; 3^4*3^5*3=3^10;

Answer 1

Ответ:

2^3*2^5=2^8;    =>  2^3+5=2^8

5^2*5^3=5^5;   =>  5^2+3=5^5

2^7*2=2^8;       =>  2^7+1=2^8

3^4*3^5*3=3^10;    =>  3^4+5+1=3^10

Объяснение:

При одинаковом основании если стоит знак  * показатели степеней складываем

Answer 2

Yes, the given equations are correct applications of the exponentiation rules. Let me explain each step:

1. 2^3 * 2^5 = 2^(3+5) = 2^8 Here, we used the rule that when you multiply two numbers with the same base, you can add their exponents.

2. 5^2 * 5^3 = 5^(2+3) = 5^5 Similarly, when you multiply two numbers with the same base, you add their exponents.

3. 2^7 * 2 = 2^(7+1) = 2^8 Here, we again used the rule of adding exponents when multiplying numbers with the same base.

4. 3^4 * 3^5 * 3 = 3^(4+5+1) = 3^10 Once more, we applied the rule of adding exponents when multiplying numbers with the same base.

These rules are fundamental properties of exponentiation and are applicable to any base, not just the specific numbers mentioned in the equations.