Question

Which of the following would be equivalent to 11 to the 8th power over 11 to the 3rd power?

A)11 to the 7th power over 11 to the 7th power
B)11 ⋅ 114
11 to the 0 power over 11 to the 5th power
110

Answer 1

none of the above. 11^8/11^3 is 11^5 since you will just subtract exponents. The numerical value is 161051
although you should have an option that either is 11^5 or equals 11^5 like 11^15/11^10 for example
the third answer is almost correct, but it would have to be 11^5/11^0

Answer 2

`11 .11^4`

Explanation:

Given phrase,

11 to the 8th power over 11 to the 3rd power

`\implies (11^8)/(11^3)`

`=11^(8-3)`
`(\because (a^m)/(a^n)=a^(m-n))`

`=11^5`

Since,

`11.11^4`

`=11^(1+4)`

`=11^5`

Hence, the equivalent expression to 11 to the 8th power over 11 to the 3rd power is,

`11.11^4`