Question

А^2:а равно а^56:а^10 равно (а^2)^4 умножить а^3 равно 3^9:(3^2)^4 равно 6^7 умножить 6^2 умножить 6 равно 6^4 умножить 36 равно 5^7 умножить 125 равно 32 умножить 2^15 равно 3^n умножить 3^n+4 равно 2^n умножить 27 равно 6^8+^n умножить 6^2n-^8 ^ это степень

Answer 1

Решение в приложении

Answer 2

А^2:а равно a
а^56:а^10 равно a^46
(а^2)^4 умножить а^3 равно a^11
3^9:(3^2)^4 равно 3
6^7 умножить 6^2 умножить 6 равно 6^10
6^4 умножить 36 равно 6^6
5^7 умножить 125 равно 5^10
32 умножить 2^15 равно 2^20
3^n умножить 3^n+4 равно 3^2n+4
2^n умножить 27 равно
6^8+^n умножить 6^2n-^8
^ это степень 6^3n

Answer 3

To simplify the expressions and solve for the variables, let's go through each step one by one:

1. A^2 : a = a^56 : a^10

We can simplify this expression by dividing both sides by 'a': A^2/a = a^56/a^10 A^(2-1) = a^(56-10) A = a^46

2. (a^2)^4 * a^3

We can simplify the expression within the parentheses first: (a^2)^4 = a^(2*4) = a^8

Now, multiply the two simplified expressions: (a^2)^4 * a^3 = a^8 * a^3 = a^(8+3) = a^11

3. 3^9 : (3^2)^4

Simplify the expression within the parentheses first: (3^2)^4 = 3^(2*4) = 3^8

Now, divide 3^9 by 3^8: 3^9 : (3^2)^4 = 3^(9-8) = 3^1 = 3

4. 6^7 * 6^2 * 6

When you multiply numbers with the same base, you can add their exponents: 6^7 * 6^2 * 6 = 6^(7+2+1) = 6^10

5. 6^4 * 36

6^4 = 6^(4*1) = 6^4

Now, multiply 6^4 by 36: 6^4 * 36 = 6^4 * 6^2 = 6^(4+2) = 6^6

6. 5^7 * 125

5^7 = 5^(7*1) = 5^7

Now, multiply 5^7 by 125: 5^7 * 125 = 5^7 * 5^3 = 5^(7+3) = 5^10

7. 32 * 2^15

32 can be expressed as 2^5 (2^5 = 32). Now, we can simplify the expression: 32 * 2^15 = 2^5 * 2^15 = 2^(5+15) = 2^20

8. 3^n * 3^(n+4)

When you multiply numbers with the same base, you can add their exponents: 3^n * 3^(n+4) = 3^(n+n+4) = 3^(2n+4)

9. 2^n * 27

27 can be expressed as 3^3 (3^3 = 27). Now, we can simplify the expression: 2^n * 27 = 2^n * 3^3 = 2^n * (2^3) = 2^(n+3)

10. 6^(8+n) * 6^(2n-8)

When you multiply numbers with the same base, you can add their exponents: 6^(8+n) * 6^(2n-8) = 6^(8+n+2n-8) = 6^(3n)

11. The value of '^' (caret symbol) representing the exponent is unclear in this context. If you provide more information or clarify what you mean by '^,' I can continue with further simplifications or calculations.

Let me know if you need any further assistance!