Question

Choose the correct simplification of a5b6/a4b4

Answer 1

The correct simplification of the expression a^5b^6/a^4b^4 is ab^2, using the properties of exponents by subtracting the exponents of like bases.

Step-by-step explanation:

The simplification of the expression a^5b^6/a^4b^4 involves using the properties of exponents. When you divide two expressions with the same base, you subtract the exponents. Therefore, a^5/a^4 becomes a^(5-4), which simplifies to a^1. We don't need to write the subscript when it is one, so it is just a. Similarly, b^6/b^4 becomes b^(6-4) which simplifies to b^2. Combining these, we get the simplified subscript in the final expression, which is ab^2.

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Answer 2

The Answer is a b¹⁰

Simplify the following:
(a^5 b^6 b^4)/a^4

Combine powers. (a^5 b^6 b^4)/a^4 = a^(5 - 4) b^(6 + 4):
a^(5 - 4) b^(6 + 4)

5 - 4 = 1:
a b^(6 + 4)

6 + 4 = 10:
Answer: a b^10