Question

-21 : (-6) -35 : (-7\9) -3³\¹¹ : 2¹⁹/²²

Answer 1

-21:(-6)=3,5
-35:(-7/9)=45
-3 3/11:2 19/22=-171/121 или -1 50/121

Answer 2

Let's simplify each expression:

1. -21 divided by (-6): -21 / (-6) = 3.5

2. -35 divided by (-7/9): To divide by a fraction, you can multiply by its reciprocal. -35 * (-9/7) = 45

3. -3^(3/11) divided by 2^(19/22): To divide these exponential expressions, you can subtract the exponents when the bases are the same. (-3^(3/11)) / (2^(19/22)) = -3^(3/11 - 19/22)

Now, let's find a common denominator for the exponents in the third expression:

3/11 and 19/22 both have the denominator 22. So, we need to rewrite 3/11 with a denominator of 22:

(3/11) * (2/2) = 6/22

Now, we can subtract the exponents:

-3^(6/22 - 19/22) = -3^(-13/22)

So, the simplified expressions are:

1. -21 / (-6) = 3.5
2. -35 * (-9/7) = 45
3. -3^(-13/22)