Answer:
(4/g)^12.
Explanation:
To simplify the expression (4/g)^4 . (4/g)^2 . (4/g)^6, we can use the rule of exponents that states when you multiply two powers with the same base, you can add their exponents. Here's how we can simplify the expression step by step:
Step 1: Apply the rule of exponents to multiply the terms:
(4/g)^4 . (4/g)^2 . (4/g)^6 = (4/g)^(4+2+6)
Step 2: Add the exponents:
(4/g)^(4+2+6) = (4/g)^12
Therefore, the simplified expression is (4/g)^12.
By adding the exponents of the terms, we can condense the expression into a single term with an exponent of 12. This simplification allows us to represent the original expression more efficiently.