Question

What is the solution to the equation (5ʸ times 6ʸ)?

a) (11ʸ
b) (30ʸ)
c) (2¹1y)
d) (5²y × 6ʸ)

Answer 1

The solution to the equation (5ʸ times 6ʸ) is (30ʸ), where the bases 5 and 6 are multiplied first to get 30, which is then raised to the exponent y, making option b the correct answer.

Step-by-step explanation:

The solution to the equation (5ʸ times 6ʸ) is based on the properties of exponents. When multiplying two powers with the same exponent but different bases, you can multiply the bases first and then apply the exponent to the result. In this case, you multiply the bases, 5 and 6, to get 30, and then apply the exponent y, resulting in (30ʸ).

Step-by-Step Explanation:

1. Identify the bases, which are 5 and 6.
2. Multiply the bases: 5 * 6 = 30.
3. Apply the exponent y to the result: (30ʸ).

Therefore, the correct answer is (30ʸ), which corresponds to option b.