Explanation:
remember :
when multiplying terms with the same base, we add the exponents.
when dividing terms with the same base, we subtract the exponent of the denominator from the exponent of the numerator.
when putting exponent on exponent, we multiply the exponents.
a negative exponent means 1/...
e.g. 6^-4 = 1/6⁴
1/6^-4 = 1 / 1/6⁴ = 6⁴
so,
1.
(3^-4 × 3²)/3 = 3^-2 × 3^-1 = 3^-3 = 1/3³ = 1/27 =
= 0.037037037...
2.
(4²)^-1 × 4² = 4^-2 × 4² = 4⁰ = 1
3.
(2^-4 / 2^-2)^-1 = (2^-4 × 2²)^-1 = (2^-2)^-1 = 2² = 4
4.
(3^-3)² / (3²)^-1 = 3^-6 / 3^-2 = 3^-6 × 3² = 3^-4 =
= 1/3⁴ = 1/81 = 0.012345679...