Answer:
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
