what expressions simplifies to -14\sqrt[3]{7}

Answer 1

To find expressions that simplify to \(-14\sqrt[3]{7}\), we can look at various forms of the expression. Here are a few possibilities:

1. Multiplication of constants and radicals:

   • \( -7 \times 2 \times \sqrt[3]{7} \) simplifies to \(-14\sqrt[3]{7}\).

2. Combining different cube roots:

   • \(-14\sqrt[3]{7} = -14\sqrt[3]{7} \cdot 1\), which can be expressed as \(-14\sqrt[3]{7} \cdot \frac{\sqrt[3]{1}}{\sqrt[3]{1}} = -14\sqrt[3]{\frac{7}{1}}\).

3. Negative product:

   • \(-7 \sqrt[3]{7^2} \cdot 2\) also equals \(-14\sqrt[3]{7}\) because \(\sqrt[3]{7^2} \) is the same as \(7 \times \sqrt[3]{7}\).

4. Fractional expression:

   • \(-\frac{28}{2} \sqrt[3]{7}\) simplifies to \(-14\sqrt[3]{7}\).

5. Involving exponents:

   • You can express it as \( -14 \cdot 7^{\frac{1}{3}} \).

By manipulating constants or including other terms that simplify out, there are many expressions which can ultimately simplify to \(-14\sqrt[3]{7}\).