Question

A^-11*a^4/a^-3 при a=-1/2

Answer 1

показатели -11+4-(-3) = -4

подставим (-1/2)^-4 = (-2)^4 = 16

Answer 2

To evaluate the expression A^-11 * a^4 / a^-3 at a = -1/2, we first need to simplify the expression using the rules of exponents.

Recall the rules of exponents:

1. a^m * a^n = a^(m + n)
2. a^m / a^n = a^(m - n)
3. (a^m)^n = a^(m * n)
4. (a/b)^m = a^m / b^m

Now let's simplify the expression step by step:

A^-11 * a^4 / a^-3

First, apply the rule (a^m / a^n) = a^(m - n):

A^-11 * a^(4 - (-3))

Now, simplify the exponents:

A^-11 * a^7

Now, substitute a with -1/2:

A^-11 * (-1/2)^7

Now, evaluate (-1/2)^7:

(-1/2)^7 = -(1/2)^7 = -(1/128) = -1/128

Finally, substitute the result back into the expression:

A^-11 * (-1/128)

The expression cannot be further simplified without knowing the value of A. So, the final simplified expression when a = -1/2 is:

(-1/128) * A^-11

If you have a specific value for A, you can substitute it into the expression to get a numerical result.