espress 15 x^1/2 y^1/5 using a radical

The correct answer is C. 15 ¹⁵√x⁵y³

Correct question and statement:

Express 15x^1/3 y^1/5 using a radical, as it is written in the graph attached.

Step-by-step explanation:

15x^1/3 y^1/5

15 * (x^1/3 y^1/5)

For multiplying two fractional exponents with different bases, we need to equal the denominator of the fractional exponents.

Therefore, we have:

1/3 * 5/5 = 5/15 ⇒ 1/5 * 3/3 = 3/15

15 * (x^5/15 y^3/15)

Now we can express the fractional exponents as an only radical, this way:

x^a/b = ᵇ√xᵃ

15 * ¹⁵√x⁵y³

The correct answer is C. 15 ¹⁵√x⁵y³

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