Final answer:
To evaluate the given expressions, solve the innermost parentheses first and perform any necessary calculations, following the order of operations. Keep in mind the rule of exponentiation when encountering exponents.
Step-by-step explanation:
To evaluate the expression 12(60)(6-4), we start by solving the innermost parentheses, 6-4 which equals 2. Next, we multiply 60 by 2 to get 120. Finally, we multiply 12 by 120 to get the final answer of 1440.
Similarly, to evaluate the expression 3(6-1+6²), we first calculate the exponent, 6² which equals 36. Next, we solve the innermost parentheses, 6-1+36, which simplifies to 41. Finally, we multiply 3 by 41 to get the final answer of 123.
In the expressions b. 14(6-²) and d. 6(6-²+6³), the exponent, 6² is in the denominator. To simplify, we first calculate the exponent, 6² which equals 36. In b, we subtract 36 from 6 and multiply the result by 14 to get the final answer. In d, we add 36 to 6³ and then multiply by 6 to get the final answer.
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