Answer:
a) [tex]\boxed{-4}[/tex]
b) [tex]\boxed{26}[/tex]
c) [tex]\boxed{-12}[/tex]
d) [tex]\boxed{-9}[/tex]
e) [tex]\boxed{10}[/tex]
f) [tex]\boxed{-12}[/tex]
Step-by-step explanation:
1) [tex]\frac{41 - 3^2}{\sqrt{36}* 3-26 }[/tex]
=> [tex]\frac{41-9}{6*3-26}[/tex]
=> [tex]\frac{32}{18-26}[/tex]
=> [tex]\frac{32}{-8}[/tex]
=> -4
2) [tex]12+\sqrt[3]{8} * (9-2)[/tex] ∴ [tex]\sqrt[3]{8} = 2[/tex]
=> [tex]12+2*(7)[/tex]
=> 12 + 14
=> 26
3) [tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]
=> [tex]\frac{28-(49+3)}{-13+15}[/tex]
=> [tex]\frac{28-52}{2}[/tex]
=> [tex]\frac{-24}{2}[/tex]
=> -12
4) [tex]\frac{28}{4} - \sqrt[3]{8} * 2^3[/tex]
=> 7 - 2 * 8
=> 7 - 16
=> -9
5) [tex]7^2-5*8+1[/tex]
=> 49 - 40 + 1
=> 9 + 1
=> 10
6) [tex](2 * \sqrt{16} ) - (\sqrt[3]{27} * \sqrt{81} ) + 7[/tex]
∴ [tex]\sqrt{16} = 4, \sqrt[3]{27} = 3 , \sqrt{81} = 9[/tex]
=> (2 * 4) - (3 * 9) + 7
=> 8 - 27 + 7
=> -19 + 7
=> -12
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Apply order of operations to solve each expression.
[tex]\frac{41-9}{6 \times 3-26}[/tex]
[tex]\frac{41-9}{18-26}[/tex]
[tex]\frac{32}{-8}=-4[/tex]
[tex]12+2\times 7[/tex]
[tex]12+14=26[/tex]
[tex]\frac{28-(49+3)}{-13+15}[/tex]
[tex]\frac{28-52}{2}[/tex]
[tex]\frac{-24}{2} =-12[/tex]
[tex]7-2 \times 8[/tex]
[tex]7-16=-9[/tex]
[tex]49-40+1[/tex]
[tex]=10[/tex]
[tex](2 \times 4)-(3 \times 9) +7[/tex]
[tex]8-27+7[/tex]
[tex]=-12[/tex]
