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Johathan Wehner

Feb 20, 2025

Cube root of b^27?

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Alycia Zemlak

Feb 20, 2025

b^9 Because cubed root of b^27 = (b^27)^1/3And using the power rule of exponents: (27)(1/3) = 9 b^9you can test it. Say b=22^27 = 134217728Using a calculator, you can find the cubed root of anything with the MATH button and selecting the cubed root. Using that option, you find that the cubed root of 134217728 is 512. (or set 134217728^(1/3) in your calculator)2^9 = 512Another way of seeing it:cubed root of (b^27) = cubed root of [(b^9)(b^9)(b^9)]= cubed root of [(b^9)^3]= b^9... Show More
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A
Alycia Zemlak

Feb 20, 2025

27 = 3 * 3 * 3The cube root of 27 is 3.b^3 * b^3 * b^3 = b^27This proves that the cube root of b^27 is b^3.... Show More
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