Simplify the following expression. $$d ^ { ( 8 n + 8 ) } d ^ { ( - 5 n ) }$$
A) $d ^ { ( - 3 n + 8 ) }$
B) $d ^ { - ( 3 n + 8 ) }$
C) $d ^ { ( - ( 8 n + 8 ) 5 n ) }$
D) $d ^ { ( 11 n ) }$
E) $d ^ { ( 3 n + 8 ) }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add their exponents. So,

$$d ^ { ( 8 n + 8 ) } d ^ { ( - 5 n ) } = d ^{8n+8-5n} = d^{3n+8}$$

Therefore, the answer is choice E.

Simplify the Following Expression d(8n+8)d(−5n)d ^ { ( 8 n + 8 ) } d ^ { ( - 5 n ) }d(8n+8)d(−5n)

Simplify the Following Expression $d ^ { ( 8 n + 8 ) } d ^ { ( - 5 n ) }$