Question

question 1

simplify:
\\((x^3)^5\\)

\\(x^2\\)
\\(x^8\\)
\\(x^{15}\\)
\\(x^{243}\\)

question 2

simplify:
\\((y^5)^{-2}\\)

\\(y^{10}\\)
\\(-\frac{1}{y^{10}}\\)
\\(y^3\\)
\\(\frac{1}{y^{10}}\\)

Explanation:

Simplify Question 1

$$ (x^3)^5 = x^{3 \times 5} = x^{15} $$

Simplify Question 2

$$ (y^5)^{-2} = y^{5 \times (-2)} = y^{-10} = \frac{1}{y^{10}} $$

Answer:

Question 1

• (A) \(x^2\)
• (B) \(x^8\)
• (C) \(x^{15}\) (Correct answer)
• (D) \(x^{243}\)

Question 2

• (A) \(y^{10}\)
• (B) \(\frac{1}{y^{10}}\) (Correct answer)
• (C) \(y^3\)
• (D) \(\frac{1}{y^3}\)