Question

2. (a⁶a⁵) : a² =А) а²⁸ Б) а¹⁵ В) а¹⁰ Г) а⁹​

Answer 1

Ответ:

Г

Объяснение:

(a⁶a⁵) : a²=a⁶⁺⁵⁻²=a⁹

Answer 2

To simplify the expression $(a^6 \cdot a^5) : a^2$, you can use the properties of exponents:

1. When you multiply two terms with the same base, you add their exponents: $a^m \cdot a^n = a^{m+n}$.
2. When you divide two terms with the same base, you subtract the exponent of the divisor from the exponent of the dividend: $a^m : a^n = a^{m-n}$.

Let's apply these rules to your expression:

$(a^6 \cdot a^5) : a^2 = a^{6+5} : a^2 = a^{11} : a^2 = a^{11-2} = a^9$.

So, the correct answer is (Г) $а^9$.