Question

question 2

what is the following expression equivalent to?

\\((b^5)^3 b^4\\)

• \\(b^{19}\\)
• \\(b^{32}\\)
• \\(b^{12}\\)
• \\(b^{60}\\)

Explanation:

Apply the power of a power rule

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

Apply the product of powers rule

$$ b^{15} \cdot b^4 = b^{15 + 4} = b^{19} $$

Answer:

• (A) \(b^{19}\) (Correct answer)
• (B) \(b^{32}\)
• (C) \(b^{12}\)
• (D) \(b^{60}\)