Answer:
432
Step-by-step explanation:
[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]
Now, at first, we solve the numerator:
[tex](14-3^{2}+1 )^{2}[/tex]
=[tex](14-9+1)^{2}[/tex]
=[tex](15-9)^{2}[/tex]
= [tex]6^{2}[/tex]
= 36
Now let's solve the denominator:
1 ÷ 3 × [tex]\frac{1}{4}[/tex]
=[tex]\frac{1}{3} . \frac{1}{4}[/tex]
=[tex]\frac{1}{12}[/tex]
Hence,
[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]
= [tex]\frac{36}{1/12}[/tex]
= 36 x 12
= 432
