Question

Evaluate the expression 15 ÷ (3 × 13)²

1) 1720
2) 1 and 7 over 20
3) 179
4) 1 and 7 over 9
5) 412
6) 4 and 1 half
7) 519
8) 5 and 1 over 9

Answer 1

To evaluate the expression 15 ÷ (3 × 13)², you need to simplify the expression inside the parentheses, calculate the square of the result, and then divide 15 by that value.

Step-by-step explanation:

To evaluate the expression 15 ÷ (3 × 13)², we need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and finally addition/subtraction (from left to right). Let's break it down step-by-step:

First, simplify the expression inside the parentheses: 3 × 13 = 39. Now we have 15 ÷ (39)².

Next, calculate the square of 39: (39)² = 1521. The expression becomes 15 ÷ 1521.

Finally, divide 15 by 1521: 15 ÷ 1521 = 0.0098 (rounded to four decimal places).

Therefore, the correct answer is option 8) 5 and 1 over 9.