Question

Please help me if you can thank you

Answer 1

Follow the steps below

Explanation:

a. When dividing with the same base, (7 in this case), subtract the exponents. So, 7^6 / 7^2 = 7^6-2 = 7^4

b. (11^4)^5 becomes 11^4*5 = 11^20

c. Once again, same base (4 this time), so add the exponents. 4^2 * 4^6 = 4^2+6 = 4^8

d. So, 6 is technically 6^1, so 6 * 6^8 = 6^1 * 6^8 = 6^9

e. (12^2)^7 is 12^2*7 = 12^14

f. (3^10) / 3 = 3^10 / 3^1 = 3^10-1 = 3^9

g. (0.173)^9 * (0.173)^2 = 0.173^9+2 = 0.173^11

h. (0.87^5) / (0.87^3) = 0.87^5-3 = 0.87^2

i. (5/2)^8 / (5/2)^6 = (5/2)^8-6 = (5/2)^2

Answer 2

a) 7³

b)
`11^(20)`

c)
`4^(8)`

d)
`6^9`

e)
`12^(14)`

f)
`3^9`

g)
`(0.173)^(11)`

h) 0.87²

i) (
`(5)/(2)\\`)²

Explanation:

The exponents are subtracted when they are dividing, are summed when it's multiplication, and are multiplied when it's between parenthesis.