Answer :
The standard form of the following are:
(16) [tex]8^1=8[/tex]
(17) [tex]-2^4=-16[/tex]
(18) [tex]4[/tex] squared = [tex]16[/tex]
(19) [tex](-2)^4=16[/tex]
(20) [tex]5[/tex] cubed = [tex]125[/tex]
(21) [tex](-3)^3=-27[/tex]
(22) [tex](\frac{3}{5})^2=\frac{9}{25}[/tex]
(23) [tex]-3^3=-27[/tex]
The expression in standard form and their comparison:
(24) [tex]9>8[/tex]
(25) [tex]343=343[/tex]
(26) [tex]125>15[/tex]
(27) [tex]9>-16[/tex]
(28) [tex]4<8[/tex]
(29) [tex]64=64[/tex]
Step-by-step explanation :
The standard form of the following are:
(16) [tex]8^1=8[/tex]
(17) [tex]-2^4=-(2\times 2\times 2\times 2)=-16[/tex]
(18) [tex]4[/tex] squared = [tex]4^2=4\time 4=16[/tex]
(19) [tex](-2)^4=(-2\times -2\times -2\times -2)=16[/tex]
(20) [tex]5[/tex] cubed = [tex]5^3=5\time 5\times 5=125[/tex]
(21) [tex](-3)^3=(-3\times -3\times -3)=-27[/tex]
(22) [tex](\frac{3}{5})^2=\frac{3}{5}\times \frac{3}{5}=\frac{9}{25}[/tex]
(23) [tex]-3^3=-(3\times 3\times 3)=-27[/tex]
The expression in standard form and their comparison:
(24) [tex]3^2[/tex] ____[tex]2^3[/tex]
[tex]3\times 3[/tex] ____[tex]2\times 2\times 2[/tex]
9 ____8
[tex]9>8[/tex]
(25) [tex]7^3[/tex] ____[tex]7\times 7\times 7[/tex]
[tex]7\times 7\times 7[/tex] ____[tex]7\times 7\times 7[/tex]
343 ___ 343
[tex]343=343[/tex]
(26) [tex]5^3[/tex] ____ [tex]5\times 3[/tex]
[tex]5\times 5\times 5[/tex] ____ [tex]5\times 3[/tex]
125 ____ 15
[tex]125>15[/tex]
(27) [tex](-3)^2[/tex] ____ [tex]-2^4[/tex]
[tex](-3\times -3)[/tex] ____ [tex]-(2\times 2\times 2\times 2)[/tex]
9 ___ 16
[tex]9>-16[/tex]
(28) [tex]2\text{ squared}[/tex] ____ [tex]2\text{ cubed}[/tex]
[tex]2^2[/tex] ____ [tex]2^3[/tex]
[tex](2\times 2)[/tex] ____ [tex](2\times 2\times 2)[/tex]
4 ___ 8
[tex]4<8[/tex]
(29) [tex]4^3[/tex] ____ [tex]4\text{ cubed}[/tex]
[tex]4^3[/tex] ___ [tex]4^3[/tex]
[tex](4\times 4\times 4)[/tex] ____ [tex](4\times 4\times 4)[/tex]
64 ____ 64
[tex]64=64[/tex]
