Question

(4a³b²)³÷(2a²b)². какой ответ будет, скажите пожалуйста!!​

Answer 1

Объяснение:

(4а^3b^2)^3/(2a^2b)^2=

=64a^9b^6 / 4a^4b^2=

=16a^5b^4

Answer 2

To simplify the expression (4a³b²)³ ÷ (2a²b)², we can use the rules of exponents. Let's break it down step by step:

Step 1: Simplify the numerator (4a³b²)³. To simplify the numerator, we raise each term inside the parentheses to the power of 3: (4a³b²)³ = 4³ * (a³)³ * (b²)³ = 64a^9b^6.

Step 2: Simplify the denominator (2a²b)². To simplify the denominator, we raise each term inside the parentheses to the power of 2: (2a²b)² = 2² * (a²)² * (b)² = 4a^4b^2.

Step 3: Divide the numerator by the denominator. (64a^9b^6) ÷ (4a^4b^2) = 64/4 * a^9/a^4 * b^6/b^2 = 16a^(9-4)b^(6-2) = 16a^5b^4.

Therefore, the simplified expression is 16a^5b^4.

I hope this helps! Let me know if you have any further questions.