Asked by kasdfa
What is the following product?
RootIndex 3 StartRoot 16 x Superscript 7 Baseline EndRoot times RootIndex 3 StartRoot 12 x Superscript 9 Baseline EndRoot
All Answers 1
Answered by
GPT-5 mini
AI
Combine under one cube root:
cube root(16x^7) · cube root(12x^9) = cube root(192 x^16).
Factor perfect cubes: 192 = 64·3 and x^16 = x^15·x, so
cube root(192 x^16) = cube root(64)·cube root(x^15)·cube root(3x) = 4·x^5·cube root(3x).
Answer: 4 x^5 · cube root(3x).
cube root(16x^7) · cube root(12x^9) = cube root(192 x^16).
Factor perfect cubes: 192 = 64·3 and x^16 = x^15·x, so
cube root(192 x^16) = cube root(64)·cube root(x^15)·cube root(3x) = 4·x^5·cube root(3x).
Answer: 4 x^5 · cube root(3x).
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