According to the quotient rule for exponents, we subtract the bottom exponent from the top exponent when bases are the same. Subtracting 4 from 9 gives us x^5.

When dividing exponential terms with the same base, you subtract the exponent of the denominator from the exponent of the numerator. Here, 8 - 3 equals 5, resulting in 2^5.

The product rule tells us to add the exponents when the base is identical. Adding the exponent 1 to the exponent 6 gives a final power of 7, so the answer is 7^7.

Since the bases are identical, the exponents are simply added together. Taking the sum of 2 and 8 yields 10, resulting in the simplified term z^10.

By applying the fundamental rule of exponents for multiplication, we add the exponents 2 and 3. The base remains 4, which gives us 4^5.

When multiplying powers of 10, the base remains 10 and the exponents are summed. The sum of 3 and 4 is 7, making the final expression 10^7.

The product rule applies to any number of terms with the same base. Adding the exponents 3, 4, and the implicit 1 gives 3 + 4 + 1 = 8, yielding a^8.

To multiply expressions with identical bases, you must add the exponents while keeping the base unchanged. Adding 2 and 5 gives an exponent of 7, resulting in 5^7.

A variable without a visible exponent has an implicit exponent of 1. So, y^6 * y^1 means we add the exponents 6 and 1 together, resulting in y^7.

Using the law of exponents for multiplication, we keep the base the same and add the powers. For 3^4 * 3^2, adding the powers 4 and 2 gives us 3^6.