Question

Write 2c6d/10c3 as a fraction in its simplest form sparx

Answer 1

The simplified form of
`\((2c^6d)/(10c^3)\)` is
`\((c^3d)/(5)\)`, obtained by factoring out common terms and canceling common factors. The expression reduces to
`\((c^3d)/(5)\)` after simplification.

To simplify the expression
`\((2c^6d)/(10c^3)\)`, first, factor out the common terms in the numerator and denominator:

`\[ (2c^6d)/(10c^3) = (2 \cdot c^3 \cdot c^3 \cdot d)/(10 \cdot c^3) \]`

Now, cancel out the common factors in the numerator and denominator:

`\[ \frac{2 \cdot \cancel{c^3} \cdot c^3 \cdot d}{10 \cdot \cancel{c^3}} = (2c^3d)/(10) \]`

Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

`\[ (2c^3d)/(10) = \frac{\cancelto{1}{2}c^3d}{\cancelto{5}{10}} = (c^3d)/(5) \]`

So,
`\((2c^6d)/(10c^3)\)` in its simplest form is
`\((c^3d)/(5)\)`.

The complete question is:
Write
`2c^(6)d / 10c^(3)` as a fraction in its simplest form.