Answer:
[tex] \bf \implies {7}^{2} - 8 \times 2 - 16[/tex]
Step-by-step explanation:
A) (7² - 8)(2) -16
[tex]\bf \longrightarrow(7^{2} - 8)(2)- 16[/tex]
[tex]\bf \longrightarrow(49 - 8)(2) - 16[/tex]
[tex]\bf \longrightarrow(41)(2) - 16[/tex]
[tex]\bf \longrightarrow82 - 16[/tex]
[tex]\bf \longrightarrow66[/tex]
B) 7² - 8(2 - 16)
[tex]\bf \longrightarrow {7}^{2} - 8(2 - 16)[/tex]
[tex]\bf \longrightarrow49 - 8(2 - 16)[/tex]
[tex]\bf \longrightarrow49 - (8)( - 14)[/tex]
[tex]\bf \longrightarrow49 - ( - 112)[/tex]
[tex]\bf \longrightarrow161[/tex]
C) 7² - ((8)(2)-16)
[tex]\bf \longrightarrow {7}^{2} - ((8)(2) - 16)[/tex]
[tex]\bf \longrightarrow49 - ((8)(2) - 16)[/tex]
[tex]\bf \longrightarrow49 - (16 - 16)[/tex]
[tex]\bf \longrightarrow49 - 0[/tex]
[tex]\bf \longrightarrow49[/tex]
D) 7² - (8)(2) - 16
[tex]\bf \longrightarrow {7}^{2} - (8)(2) - 16[/tex]
[tex]\bf \longrightarrow49 - (8)(2) - 16[/tex]
[tex]\bf \longrightarrow49 - 16 - 16[/tex]
[tex]\bf \longrightarrow49 - 32[/tex]
[tex]\bf \longrightarrow17[/tex]
Thus, Option A , Option B and Option C don't expressed the value of 17.
Therefore, The correct option is D) which expressed the value of 17.
