Question

A^6×a^-4/a^-2= 6^-4×2 ^-3/12^-3=

Answer 1

Ответ:

Вот

Объяснение:

Answer 2

Let's simplify each expression step by step:

1. A^6 * A^-4 / A^-2: To simplify this, you can use the rule that when you divide two terms with the same base (A in this case) and different exponents, you subtract the exponents. So, A^6 / A^-4 = A^(6 - (-4)) = A^10. Then, we have A^10 / A^-2, and you apply the same rule: A^(10 - (-2)) = A^12.

2. 6^-4 * 2^-3 / 12^-3: First, simplify each term with a negative exponent: 6^-4 = 1 / 6^4 2^-3 = 1 / 2^3 12^-3 = 1 / 12^3

   Now, substitute these values back into the expression: (1 / 6^4) * (1 / 2^3) / (1 / 12^3)

   To simplify further, you can multiply the numerators and divide by the denominator: (1 / 6^4) * (1 / 2^3) * (12^3 / 1)

   Now, apply the rules of exponents: 1 / (6^4) = 1 / 6^4 1 / (2^3) = 1 / 2^3 12^3 = 12^3

   So, the expression becomes: (1 / 6^4) * (1 / 2^3) * 12^3

   Now, you can simplify further: 1 / 6^4 = 1 / 1296 1 / 2^3 = 1 / 8

   So, the expression becomes: (1 / 1296) * (1 / 8) * 12^3

   Now, multiply the numerators and calculate 12^3: (1 / 1296) * (1 / 8) * 1728

   To simplify further, multiply the numerators and simplify the fraction: (1 * 1 * 1728) / (1296 * 8)

   Calculate the values in the numerator and denominator: 1728 / 10368

   Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 3456): (1728 / 3456) / (10368 / 3456)

   This results in: 1/6

So, the final simplified expression is 1/6.