Question

15 points!

Answer 1

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. $(4^{3} )^5$
For this, you can just multiply 3 by 5 which is 15 then place it as an exponent as $4^{15}$

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: $4^{15}$

2. $4^{-2}$

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. $4^3$

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. $4^8$

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. $4^{15}$

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 :-)