Final answer:
The question mainly deals with arithmetic operations, with a focus on multiplication, division, and exponent rules for both operations. Understanding that division is multiplication by the reciprocal and that exponents are multiplied or divided based on whether the respective terms are multiplied or divided helps clarify these concepts.
Step-by-step explanation:
The question appears to contain some typographical errors but seems to revolve around the understanding of multiplication, division, and the handling of exponents in both processes. Multiplication and division are related operations, with division being equivalent to multiplication by the reciprocal of a number. For instance, dividing by 8 is the same as multiplying by ¼ (the reciprocal of 8), and multiplying by ½ is the same as dividing by 2.When it comes to multiplication involving positive and negative numbers, if two positive numbers are multiplied, the result is positive (e.g., 2x3 = 6).
Similarly, when two negative numbers multiply, the outcome is also positive (e.g., (-4) x (-3) = 12). However, when one positive and one negative number are multiplied, the result is negative (e.g., (-3) x 2 = -6). The same rules for the sign apply when dividing numbers.In the context of exponents, when multiplying two terms with the same base and exponents, such as (5³)⁴, you can multiply the exponents (3 x 4 = 12) to find the resultant power, which would be 5¹² in this case. When dividing terms