Question

Write the symbolic form of the following expressions:

5. x^4 + 6√9 A) x^4 + 6 * 3 B) x^4 + 18 C) x^4 + 6 D) x^4 + 5415 + 8^3 - (14 + 6^2)
A) 15 + 512 - (14 + 36)
B) 15 + 512 - 14 + 36
C) 15 + 512 - (14 + 6) * 2
D) 15 + 512 - 14 - 6^2

The product of three and fifteen minus nine plus the quotient of fifteen and three.
A) 3 * 15 - 9 + 15 / 3
B) 3 * (15 - 9) + 15 / 3
C) 3 * 15 - (9 + 15) / 3
D) 3 * (15 - 9 + 15) / 3

The product of seventeen and y, plus the square root of eighty-one minus the product of six and x minus four.
A) 17y + √81 - 6x - 4
B) 17y + √(81 - 6x - 4)
C) 17 * y + √81 - 6 * (x - 4)
D) 17y + √(81 - (6x - 4))

Answer 1

The symbolic forms for the given expressions are B) x^4 + 18, A) 15 + 512 - (14 + 36), A) 3 * 15 - 9 + 15 / 3, and A) 17y + √81 - 6x - 4. Each form adheres to the standard mathematical order of operations.

Step-by-step explanation:

Let's address each part of the student's question to write the symbolic form of the given expressions

For the expression 5. x^4 + 6√9, the symbolic form is B) x^4 + 18, since 6 multiplied by the square root of 9 (which is 3) equals 18.

The expression 15 + 8^3 - (14 + 6^2) simplifies to A) 15 + 512 - (14 + 36). This is because 8 to the power of 3 equals 512 and the square of 6 is 36.

For The product of three and fifteen minus nine plus the quotient of fifteen and three, the symbolic form is A) 3 * 15 - 9 + 15 / 3. This adheres to the order of operations correctly.

The last expression, The product of seventeen and y, plus the square root of eighty-one minus the product of six and x minus four, is A) 17y + √81 - 6x - 4. This follows the sequence of operations given, with the square root of 81 being a separate term subtracted by the product of six and x, then minus four.