Question

Помогите пж срочно 1) (а в кубе )5 степени *b7 степени \(а в квадрате ) 7 степени * (b в квадрате ) в кубе 2) а) а9 степени /b9 степени = б) -1\27= 3) А) (1\5 Х)10 СТЕПЕНИ :(4\5Х) 6 СТЕПЕНИ : ( 1/5 Х) 12 СТЕПЕНИ Б)(-М)14 СТЕПЕНИ * (-М16 СТЕПЕНИ ) :(-М)16 СТЕПЕНИ 4)А n+5* A 8-n:A 9СТЕПЕНИ

Answer 1

Ответ: 1) a в 1 степени и b во

2 степени

2) -27

3) (1/5х) в минус 2 степени / 4\5Х) 6

Б) -м в 14 степени

4)5 А

Без объяснения прости

Answer 2

1. (a^5 * b^7) / (a^2)^7 * (b^2)^3

To simplify this expression, we can apply the rules of exponents:

(a^5 * b^7) / (a^2)^7 * (b^2)^3

(a^5 * b^7) / a^(27) * b^(23)

(a^5 * b^7) / a^14 * b^6

Now, we can simplify further by dividing the like bases:

a^(5 - 14) * b^(7 - 6)

a^-9 * b^1

1/a^9 * b

The final simplified expression is (1/a^9) * b.

2. a) a^9 / b^9

To simplify this expression, we can divide the like bases:

a^(9 - 9) / b^(9 - 9)

a^0 / b^0

Since any non-zero number raised to the power of 0 is equal to 1, we have:

1 / 1

The result is 1.

b) -1 / 27

The expression is already simplified.

3. A) (1/5 * x)^10 / (4/5 * x)^6 / (1/5 * x)^12

To simplify this expression, we can apply the rules of exponents:

((1/5)^10 * x^10) / ((4/5)^6 * x^6) / ((1/5)^12 * x^12)

(1/5)^(10 - 12) * x^(10 - 6)

(1/5)^(-2) * x^4

To simplify further, we can rewrite (1/5)^(-2) as (5/1)^2:

(5/1)^2 * x^4

25 * x^4

The final simplified expression is 25x^4.

B) (-m)^14 * (-m)^16 / (-m)^16

To simplify this expression, we can apply the rules of exponents:

(-m)^(14 + 16) / (-m)^16

(-m)^30 / (-m)^16

Since we have a negative base raised to an even power, the result is always positive:

m^30 / m^16

m^(30 - 16)

m^14

The final simplified expression is m^14.

4. A * (n + 5) * A^(8 - n) / A^9

To simplify this expression, we can apply the rules of exponents:

A^(1 + 8 - n) / A^9

A^(9 - n) / A^9

Now, we can divide the like bases:

A^(9 - n - 9)

A^(-n)

The final simplified expression is A^(-n).