Which statement correctly identifies the error in the calculation $x^0 = 0$?

Any number to the power of 0 is 0.

Any non-zero number to the power of 0 is 1.

The property $a^0 = 1$ for any non-zero number $a$ is a logical consequence of which exponent law?

The product of powers law, $a^m \cdot a^n = a^{m+n}$

The power of a power law, $(a^m)^n = a^{mn}$

The quotient of powers law, $\frac{a^m}{a^n} = a^{m-n}$

The power of a product law, $(ab)^n = a^n b^n$

1. Which statement correctly identifies the error in the calculation $x^0 = 0$?
- A. Any number to the power of 0 is 0.
- B. $x^0$ is undefined.
- C. Any non-zero number to the power of 0 is 1.
- D. $x^0$ simplifies to x.
2. Simplify the expression $(8x)^0$ without using zero exponents, assuming $x \neq 0$. $ \_\_\_ $
3. Evaluate the expression $(-17)^0$. $ \_\_\_ $
4. The property $a^0 = 1$ for any non-zero number $a$ is a logical consequence of which exponent law?
- A. The product of powers law, $a^m \cdot a^n = a^{m+n}$
- B. The power of a power law, $(a^m)^n = a^{mn}$
- C. The quotient of powers law, $\frac{a^m}{a^n} = a^{m-n}$
- D. The power of a product law, $(ab)^n = a^n b^n$
5. Calculate the value of the expression $12 + (4y)^0$, assuming $y \neq 0$. $ \_\_\_ $
6. For the expression $(x-3)^0$ to be equal to 1, what value must $x$ NOT be?
- A. 0
- B. 1
- C. 3
- D. -3
7. Simplify the expression $b^7 \cdot b^4$ using the product rule. The result is ___.
8. When using the product rule to multiply expressions with the same base, what operation is performed on the exponents?
- A. Addition
- B. Subtraction
- C. Multiplication
- D. Division
9. Simplify the expression $p^6 \cdot p$. Remember that a variable without a visible exponent has an exponent of 1. The simplified form is ___.