The given expression is (2𝑥𝑦)^(5𝑥12).

Step 1: Apply the power of a power rule, which states that (a^m)^n = a^(m*n).

So, (2𝑥𝑦)^(5𝑥12) = 2^(5𝑥12) * x^(5𝑥12) * y^(5𝑥12)

Step 2: Simplify the expression.

2^(5𝑥12) = 32^(𝑥12) because 2^5 = 32

So, the simplified expression is 32^(𝑥12) * x^(5𝑥12) * y^(5𝑥12)

Step 3: Combine the like terms.

The final simplified expression is 32𝑥^(17𝑦12).

So, the correct answer from the given choices is 32𝑥17𝑦5.

Question

The given expression is (2𝑥𝑦)^(5𝑥12).

Step 1: Apply the power of a power rule, which states that (a^m)^n = a^(m*n).

So, (2𝑥𝑦)^(5𝑥12) = 2^(5𝑥12) * x^(5𝑥12) * y^(5𝑥12)

Step 2: Simplify the expression.

2^(5𝑥12) = 32^(𝑥12) because 2^5 = 32

So, the simplified expression is 32^(𝑥12) * x^(5𝑥12) * y^(5𝑥12)

Step 3: Combine the like terms.

The final simplified expression is 32𝑥^(17𝑦12).

So, the correct answer from the given choices is 32𝑥17𝑦5.

Knowee AI · Accepted Answer