Final answer:
The laws of exponents for the given expressions are explained step by step. The exponent rules are applied to each expression, providing the simplified forms.
Step-by-step explanation:
The laws of exponents for the given expressions are:
- c2 (x3)4: When raising a power to another power, we multiply the exponents. So, in this case, we multiply 2 and 4 to get c8 (x12).
- a2* a2 y5y3: When multiplying two exponents with the same base, we add the exponents. So, a2 * a2 = a4 and y5 * y3 = y8. Therefore, the expression simplifies to a4 y8.
- c0: Any base raised to the power of 0 is always equal to 1. Therefore, c0 = 1.