Answer:
1. <
2. <
3. >
Step-by-step explanation:
Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.
1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2=32[/tex]
[tex]=32[/tex]
[tex]2^2 = 2\times2[/tex]
[tex]2\times2=4[/tex]
[tex]32\times4=128[/tex]
[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]
128 < 1024
2. [tex]2^2=2\times2=4[/tex]
[tex]5^2=5\times5=25[/tex]
[tex]4\times25=100[/tex]
[tex]=100[/tex]
[tex]2^{10} = 1024[/tex]
100 < 1024
3. [tex]2^5 = 32[/tex]
[tex]5^2=25[/tex]
[tex]32\times25=800[/tex]
[tex]10^2 = 10\times10 = 100[/tex]
800 > 100
Hope this helps.
