Respuesta :
Answer:
2 1/4
Step-by-step explanation:
first do 4*3/4-4*1/2 because of order order of operations.
12/4-4/2=3-2=1
then do 1^2 because you do exponents before addition.
1^2=1*1=1
5/4+1=5/4+4/4=9/4
9/4=2 1/4
[tex]\frac{5}{4}+4\left(\frac{3}{4}-\frac{1}{2}\right)^2 =[/tex]
[tex]\frac{3}{4}-\frac{1}{2} =\frac{3}{4}-\frac{2}{4}=[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{3-2}{4}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:3-2=1[/tex]
[tex]=\frac{1}{4}[/tex]
[tex]=\frac{5}{4}+4\cdot \frac{1}{4}^2[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}^n=\frac{a^n}{c^n}[/tex]
[tex]=\frac{5}{4}+4\cdot \frac{1}{16}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \:a+\frac{b}{c}=\frac{ac+b}{c}[/tex]
[tex]=\frac{4\cdot \frac{1}{16}\cdot \:4+5}{4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:4=16[/tex]
[tex]\frac{16\cdot \frac{1}{16}+5}{4} =\frac{6}{4} =\boxed{\frac{3}{2}}[/tex]
[tex]\mathrm{I\:hope\:that\:I\:helped\:you\:!}[/tex]
