Question

Evaluate the expression 1 to the fourth power plus 3(10-2) to the second power

Answer 1

Explanation:

To evaluate the expression 1 to the fourth power plus 3(10-2) to the second power, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, we simplify the expression inside the parentheses:

10 - 2 = 8

Next, we calculate the exponent:

8^2 = 64

Then, we evaluate the expression outside the parentheses:

3 * 64 = 192

Finally, we calculate the exponent of the number 1:

1^4 = 1

Now, we add the results of both calculations:

1 + 192 = 193

Therefore, the value of the expression 1 to the fourth power plus 3(10-2) to the second power is 193.