Final answer:
The equivalent expression for (7^3)^{-2} is 1/(7*7*7*7*7*7), which is the result of applying the laws of exponents to simplify the original expression.
Step-by-step explanation:
The expression (7^3)^{-2} can be understood using the laws of exponents, specifically the rule that states (a^m)^n = a^{m*n}. To evaluate the expression (73)-2, we need to follow the PEMDAS order of operations. First, we raise 73 to the power of -2. This means we will divide 1 by 73*73. Applying this rule to our expression, we get 7^{3*(-2)} = 7^{-6}, which means the number 7 is raised to the negative sixth power. The negative exponent rule tells us that x^{-n} = 1/x^n, so 7^{-6} is equivalent to 1/(7*7*7*7*7*7), which matches the first option provided in the question.