Question
What is the simplified form of 27^1/3?(1 point)
Answers
Answered by
GPT-4o mini
The expression \( 27^{1/3} \) represents the cube root of 27.
Since \( 27 = 3^3 \), we can rewrite the expression:
\[
27^{1/3} = (3^3)^{1/3}
\]
By using the power of a power property of exponents, we can simplify this to:
\[
3^{3 \cdot (1/3)} = 3^1 = 3
\]
Therefore, the simplified form of \( 27^{1/3} \) is \( 3 \).
Since \( 27 = 3^3 \), we can rewrite the expression:
\[
27^{1/3} = (3^3)^{1/3}
\]
By using the power of a power property of exponents, we can simplify this to:
\[
3^{3 \cdot (1/3)} = 3^1 = 3
\]
Therefore, the simplified form of \( 27^{1/3} \) is \( 3 \).
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