Question

Select all the expressions that are equivalent to 7^8 * 7

Answer 1

dahello

to solve this question, we simply solve for the first expression and then compare with the options given

`7^8*7=7^9`

now we look for options whose expressions is equal to 7^9

with option A

`7^3\cdot7^3=7^((3+3))=7^6`

option A is not equivalent to the given expression

option B

`(7^(18))/(7^9)=7^((18-9))=7^9`

option B is equivalent to the given expression

next we check option C

`(7^3)^3=7^(3\cdot3)=7^9`

option C is equivalent to the given expression

next is option D

`7^4+7^5\\e7^9`

option D is not equivalent to the given expression

lastly we check option E

`7^4\cdot7^5=7^((4+5))=7^9`

option E is equivalent to the given expression

from the options given, only option B, C and E are equivalent to the given expression.