Question
3√64/ 27^1/3 what is the answer
Answers
GPT-4o mini
To solve \( \frac{3\sqrt[3]{64}}{27^{1/3}} \), we will evaluate each part separately.
1. **Calculate \( \sqrt[3]{64} \)**:
\( 64 \) can be expressed as \( 4^3 \):
\[
\sqrt[3]{64} = \sqrt[3]{4^3} = 4
\]
2. **Calculate \( 27^{1/3} \)**:
\( 27 \) can be expressed as \( 3^3 \):
\[
27^{1/3} = \sqrt[3]{27} = \sqrt[3]{3^3} = 3
\]
3. **Now substitute these values into the original expression**:
\[
\frac{3\sqrt[3]{64}}{27^{1/3}} = \frac{3 \cdot 4}{3} = \frac{12}{3} = 4
\]
Thus, the final answer is:
\[
\boxed{4}
\]
1. **Calculate \( \sqrt[3]{64} \)**:
\( 64 \) can be expressed as \( 4^3 \):
\[
\sqrt[3]{64} = \sqrt[3]{4^3} = 4
\]
2. **Calculate \( 27^{1/3} \)**:
\( 27 \) can be expressed as \( 3^3 \):
\[
27^{1/3} = \sqrt[3]{27} = \sqrt[3]{3^3} = 3
\]
3. **Now substitute these values into the original expression**:
\[
\frac{3\sqrt[3]{64}}{27^{1/3}} = \frac{3 \cdot 4}{3} = \frac{12}{3} = 4
\]
Thus, the final answer is:
\[
\boxed{4}
\]