Final answer:
The expression representing the sequence of operations where you multiply 9 and 7, multiply the result by a variable g, and then raise this product to the 4th power is written as ((9 × 7) × g)^4.
Step-by-step explanation:
The expression to describe the given sequence of operations, 'multiply the product of 9 and 7 by g, then raise the result to the 4th power', is represented as ((9 × 7) × g)^4.
To break it down: first, you would multiply 9 and 7 to get 63. Then, you multiply this product by the variable 'g', yielding 63g. Finally, you raise this entire expression to the 4th power, which means the expression 63g is multiplied by itself four times, resulting in (63g)^4.
Remeber that when raising an expression to a power, it affects everything inside the parentheses. This principle applies to algebraic expressions with variables as well as numerical expressions.