Question

If $(5{)}^{a+b}=5\times 25\times 125,$ what is the value of $(a+b{)}^2?$

• A. $25$
• B. $28$
• C. $36$
• D. $44$

Answer 1

The correct option is C $36$

$(5{)}^{a+b}=5\times 5^2\times 5^3=5^{1+2+3}=5^6$
Hence $a+b=6$
$\therefore (a+b{)}^2=6^2=36$