Question

Using exponent laws please answer this

Answer 1

see below

Explanation:

In addition to the exponent rule ...

(a^b)^c = a^(bc)

it is helpful to know the first few powers of some small integers.

5^3 = 125

9^2 = 81

4^3 = 64

2^6 = 64

__

1. 125^3 = (5^3)^3 = 5^(3·3) = 5^9
2. 81^7 = (9^2)^7 = 9^(2·7) = 9^14
3. (1/64)^3 = ((1/4)^3)^3 = (1/4)^(3·3) = (1/4)^9
4. (1/64)^3 = ((1/2)^6)^3 = (1/2)^(6·3) = (1/2)^18