So this is a bit confusing. I don't know if you need me to solve them then simplify or just reduce them but I will try to write it anyways.
1. [tex] (4^{3} )^5[/tex]
For this, you can just multiply 3 by 5 which is 15 then place it as an exponent as [tex] 4^{15} [/tex]
But if you need to solve it, you multiply 4 by itself 15 times which is107,3741,824 but I don't think thats what you are looking for but here it is anyways
I assume that it was the former that was the answer
Answer: [tex] 4^{15} [/tex]
2. [tex] 4^{-2} [/tex]
When dealing with negative exponents, you get one and divide by the base according to the exponent. It says -2⇒2 which means you divide 1 by 4, twice
1÷4÷4=.0625
Answer: .0625
3. [tex]4^3[/tex]
Since its positive, you multiply by the base number (rather than divide if it was negative)
So it is 4×4×4=64
Answer: 64
4. [tex]4^8[/tex]
Here, you just take what I did in step 3 and multiply by the base number according to the exponent
4×4×4×4×4×4×4×4=65,536
Answer: 65, 536
5. [tex] 4^{15} [/tex]
You do what you did in the previous steps but multiply the base 15 times
4×4×4×4×4×4×4×4×4×4×4×4×4×4×4=1,073,741,824
Answer: 1,073,741,824
If you don't know what to do, go and ask your teacher because he/she would know best on what to do :-)
