Question

Order the expressions by choosing >,<, or =

Answer 1

1. <

2. <

3. >

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.
`2^5 = 2*2*2*2*2`

`2*2*2*2*2=32`

`=32`

`2^2 = 2*2`

`2*2=4`

`32*4=128`

`2^(10) = 2*2*2*2*2*2*2*2\2*2*2`

`2*2*2*2*2*2*2*2\2*2*2=1024`

128 < 1024

2.
`2^2=2*2=4`

`5^2=5*5=25`

`4*25=100`

`=100`

`2^(10) = 1024`

100 < 1024

3.
`2^5 = 32`

`5^2=25`

`32*25=800`

`10^2 = 10*10 = 100`

800 > 100

Hope this helps.