Answer :

dahello

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

[tex]7^8\times7=7^9[/tex]

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

with option A

[tex]7^3\cdot7^3=7^{(3+3)}=7^6[/tex]

option A is not equivalent to the given expression

option B

[tex]\frac{7^{18}}{7^9}=7^{(18-9)}=7^9[/tex]

option B is equivalent to the given expression

next we check option C

[tex](7^3)^3=7^{3\cdot3}=7^9[/tex]

option C is equivalent to the given expression

next is option D

[tex]7^4+7^5\ne7^9[/tex]

option D is not equivalent to the given expression

lastly we check option E

[tex]7^4\cdot7^5=7^{(4+5)}=7^9[/tex]

option E is equivalent to the given expression

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

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