Question

Using exponent laws please answer this

Answer 1

Answer:

  see below

Step-by-step 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

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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