Simplify the expression ( a − 6 ) 1 7 a − 6 7 \frac { ( a - 6 ) ^ { \frac { 1 } { 7 } } } { \sqrt [ 7 ] { a - 6 } } 7 a − 6 ( a − 6 ) 7 1 .A) 1B) -1C) ( a − 6 ) 2 7 ( a - 6 ) ^ { \frac { 2 } { 7 } } ( a − 6 ) 7 2 D) ( a − 6 ) 6 ( a - 6 ) ^ { 6 } ( a − 6 ) 6 E) 1 ( a − 6 ) 2 7 \frac { 1 } { ( a - 6 ) ^ { \frac { 2 } { 7 } } } ( a − 6 ) 7 2 1

Question

Simplify the expression   ( a − 6 )  1 7 a − 6 7 \frac { ( a - 6 )  ^ { \frac { 1 } { 7 } } } { \sqrt [ 7 ] { a - 6 } } 7 a − 6 ​ ( a − 6 )  7 1 ​ ​   .A) 1B)  -1C)    ( a − 6 )  2 7 ( a - 6 )  ^ { \frac { 2 } { 7 } } ( a − 6 )  7 2 ​ D)    ( a − 6 )  6 ( a - 6 )  ^ { 6 } ( a − 6 )  6 E)    1 ( a − 6 )  2 7 \frac { 1 } { ( a - 6 )  ^ { \frac { 2 } { 7 } } } ( a − 6 )  7 2 ​ 1 ​

Makaila Warga · Accepted Answer

Final Answer : A, Explanation :   The expression simplifies to 1 because   ( a − 6 ) 1 7 ( a - 6 ) ^ { \frac { 1 } { 7 } } ( a − 6 ) 7 1 ​   and   a − 6 7 \sqrt [ 7 ] { a - 6 } 7 a − 6 ​   are equivalent expressions, so their ratio is 1.

Simplify the expression $17a−67\frac { ( a - 6 ) ^ { \frac { 1 } { 7 } } } { \sqrt [ 7 ] { a - 6 } }$ .

A) 1
B) -1
C) $\frac { 2 } { 7 } }$
D) $a - 6 ) ^ { 6 }$
E) $27\frac { 1 } { ( a - 6 ) ^ { \frac { 2 } { 7 } } }$

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