Question

(4а²)³*(5b)²/(20a³b)²​

Answer 1

Ответ: 4

Объяснение: 4³·a⁶·5²·b² / (4·5)²·a⁶·b²

4³·a⁶·5²·b² / 4²·5²·a⁶·b²

Answer 2

To simplify the expression (4a²)³ * (5b)² / (20a³b)², we'll perform the following steps:

Step 1: Simplify the exponents inside the parentheses. Step 2: Perform the operations inside the parentheses. Step 3: Simplify the entire expression.

Step 1: Simplify the exponents inside the parentheses: (4a²)³ = 4³ * (a²)³ = 64 * a^(2*3) = 64a^6 (5b)² = 5² * (b)² = 25 * b^2 (20a³b)² = (20)² * (a³b)² = 400 * (a³b)² = 400a^6b^2

Step 2: Perform the operations inside the parentheses: (4a²)³ * (5b)² / (20a³b)² = (64a^6) * (25b^2) / (400a^6b^2)

Step 3: Simplify the entire expression: Now, we can simplify the expression by canceling out common factors in the numerator and the denominator: = (64/400) * (a^6/a^6) * (25b^2/b^2) = (4/25) * 1 * 25 = 4

Therefore, the simplified form of the expression (4a²)³ * (5b)² / (20a³b)² is 4.