Question

(1/2a)в7 *(1/2а)= (-2,5)в3 *(-2,5а)в8= (-9/7)в8:(-9/7)в5= (3y/4)в4:(3y/4)в5= (2а)в5::(2а)в3= 7ав(2а+3в)= (7х-9)+(2х-8)=1 (0,2х-7)-(6-0,1х)=2

Answer 1

(1/2a)b⁷* 1/2a= (1/4a²)*b⁷
(-2.5)b³* (-2.5a)b⁸= 6.25ab¹¹
(-9/7)b⁸/(-9/7)b⁵= b³
(3y/4) b⁴ / (3y/4) b⁵= 1/b
(2a)b⁵/(2a)b³=b²
7ab(2a+3b)= 14a²b+21ab²

(7x-9)+(2x-8)=1 
7x-9+2x-8=1
9x-17=1
9x=18
x=2

(0.2x-7)-(6-0.1x)=2
0.2x-7-6+0.1x=2
0.3x-13=2
0.3x=15
x=50

Answer 2

It seems like you've presented a series of mathematical expressions, and you would like me to help you simplify them. Let's go through each expression step by step:

1. (1/2a) * (-7) * (1/2a)
   This expression can be simplified as follows: = (1/2a) * (-7) * (1/2a)
   = (1/4a^2) * (-7)
   = -7/4a^2

2. (-2.5)^3 * (-2.5a)^8
   = (-15.625) * (17.578125a^8) = -274.658203125a^8

3. (-9/7)^8 / (-9/7)^5
   When you divide two numbers with the same base raised to different exponents, you subtract the exponents: = (-9/7)^(8 - 5) = (-9/7)^3 = -729/343

4. (3y/4)^4 / (3y/4)^5
   As with the previous expression, when you divide, you subtract the exponents: = (3y/4)^(4 - 5) = (3y/4)^(-1) = 4/(3y)

5. (2a)^5 / (2a)^3
   Once again, subtract the exponents: = (2a)^(5 - 3) = (2a)^2 = 4a^2

6. 7a√(2a + 3√7)
   This expression can't be further simplified unless you have specific values for 'a' and '√7'.

7. (7x - 9) + (2x - 8)
   Combine like terms: = 7x + 2x - 9 - 8 = 9x - 17

8. (0.2x - 7) - (6 - 0.1x)
   Distribute the negative sign: = 0.2x - 7 - 6 + 0.1x Combine like terms: = 0.2x + 0.1x - 7 - 6 = 0.3x - 13

I hope this helps you understand the simplification of these expressions. If you have specific values for variables like 'a', 'x', or 'y', you can substitute them in to get numerical results.