Answer:
To evaluate the expression 2×(-1+6)^4, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, we simplify the expression inside the parentheses (-1+6). The sum of -1 and 6 is 5. Therefore, the expression becomes 2×5^4.
Next, we evaluate the exponent. To do this, we raise 5 to the power of 4. When a number is raised to an exponent, it means multiplying the number by itself as many times as indicated by the exponent. In this case, we multiply 5 by itself four times: 5^4 = 5 × 5 × 5 × 5 = 625.
Finally, we multiply the result of the exponentiation (625) by 2: 2 × 625 = 1250.
Therefore, the value equivalent to the expression 2×(-1+6)^4 is 1250.
Explanation:
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