Question

Compare 8^0 and 8^-2. which is greater? Explain your reasoning.

Answer 1

Hello there!

`8^0` amd
`8^-2`

Let me start with 8^-2

8^-2 = 1/8 * 8

8^-2 = 1/64

which equals to 0.015625 in decimal

8^ 0 = 1

Yep, that's the answer! Easy, isn't? Well you may have been wondering why 8^0 is equal to 1.

I quoted an explanation online that says: Think of "multiplication" as always including an extra "1" as a multiplier.

So it'd be like

8^ 0

8/8 = 1

Remember: Whenever a number has an exponent 0, the answer MUST be 1.

Thus,

8^0 is greater. As you can see, it is equal to 1, while the other one is equal to 0.01

I'm terrible at explaining stuff. I hope you find this answer somehow helpful :)

Answer 2

Hey there!

`8^0`
`=`
`1`

`8^(-2)`
`=`
`(1)/(64)`
`=`
`0.015625`

`8^0`
`>`
`8^(-2)`

The bigger one is (answer) :
`8^0`

Reason: Exponents with
`Negatives` are usually decimals/ fractions, which are
`UNDERNEATH`
`0` and usually exponents with
`Positives` are usually
`ABOVE`
`0`

Good luck on your assignment and enjoy your day!

~
`LoveYourselfFirst:)`