which expression is equivalent to $6^{-6} \\times 6^{6}$? \nanswer \n\\( 1 \\) \\( 0 \\) \\( 6^{12} \\) \\(…

Explanation:

Step1: Recall exponent rule

When multiplying exponents with the same base, we use the rule (a^m\times a^n=a^{m + n}). Here, (a = 6), (m=-6), and (n = 6).

Step2: Apply the rule

Calculate the exponent: (-6+6 = 0). So the expression becomes (6^{0}).

Step3: Recall the zero - exponent rule

Any non - zero number raised to the power of 0 is 1, i.e., (a^{0}=1) for (a\neq0). Since (6\neq0), (6^{0}=1).

Answer:

1