Evaluate the following. 

Give your answers as exact whole numbers or as fractions in their lowest terms in the form p/q.

8−23=
Answer

432=
Answer

(94)−12=
Answer

(4x10)32=
Answer
x
Answer


Let's evaluate each expression step-by-step.

### 1. \( 8 - 23 \)

\[
8 - 23 = -15
\]

**Answer:** \(-15\)

---

### 2. \( 4 \cdot 3^2 \)

\[
4 \cdot 3^2 = 4 \cdot 9 = 36
\]

**Answer:** \( 36 \)

---

### 3. \( (9^4) - 12 \)

First, calculate \( 9^4 \):

\[
9^4 = 9 \times 9 \times 9 \times 9 = 6561
\]

Now subtract 12:

\[
6561 - 12 = 6549
\]

**Answer:** \( 6549 \)

---

### 4. \( (4 \times 10)^3 \)

First, calculate \( 4 \times 10 \):

\[
4 \times 10 = 40
\]

Now raise it to the power of 3:

\[
40^3 = 40 \times 40 \times 40 = 64000
\]

**Answer:** \( 64000 \)

---

Let me know if you would like any further details on the calculations or if you have any other questions!

### Related Questions:

1. What is the value of \( 5^3 - 20 \)?
2. How do you simplify \( (7 \times 2)^2 \)?
3. Calculate the value of \( (3^5) + (2^4) \).
4. What is the simplified form of \( (6 \times 5)^2 \)?
5. Evaluate \( (12^2) - (3 \times 4) \).

### Tip:
Always follow the order of operations: Parentheses, Exponents, Multiplication/Division (from left to right), and Addition/Subtraction (from left to right), often remembered by the acronym PEMDAS.

Learn how to evaluate arithmetic and exponential expressions with step-by-step solutions. This page covers basic arithmetic operations and exponentiation, including order of operations. Suitable for Grades 7-9 students.

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