Question

А^-2 * а^-4\а^-8 найти значение выражения

Answer 1

Ответ:

a²

Объяснение:

1) при делении степени отнимаются и выходит а^-4-(-8)=а^-4+8=а^4

2) при умножении добавляются а^-2*а^4= а^-2+4=а^2

Answer 2

To simplify the expression, first, we need to apply the rules of exponents. When you have a negative exponent, you can rewrite it as a positive exponent by moving it to the denominator (or vice versa). Also, when you divide two terms with the same base, you can subtract their exponents.

Let's simplify the expression step by step:

1. Rewrite the negative exponents as positive exponents: A^-2 = 1/A^2 а^-4 = 1/а^4 а^-8 = 1/а^8

2. Substitute these values back into the original expression: (1/A^2) * (1/а^4) / (1/а^8)

3. To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction: (1/A^2) * (1/а^4) * (а^8/1)

4. Combine the exponents of 'a' in the numerator: (1/A^2) * (а^4) * (а^8/1)

5. Add the exponents of 'a': (1/A^2) * (а^(4+8)/1)

6. Simplify the exponent of 'a': (1/A^2) * (а^12/1)

7. Since anything divided by 1 is itself, we can remove the denominators: а^12/A^2

So, the simplified expression is а^12/A^2.