Sure, let's simplify the given expression step by step.

The given expression is:

$$ \frac{6x^4 y^7}{18x^6 y^7} $$

Step 1: Simplify the coefficients (numerical part).

$$ \frac{6}{18} = \frac{1}{3} $$

Step 2: Simplify the $ x $ terms using the properties of exponents.

$$ \frac{x^4}{x^6} = x^{4-6} = x^{-2} $$

Step 3: Simplify the $ y $ terms using the properties of exponents.

$$ \frac{y^7}{y^7} = y^{7-7} = y^0 = 1 $$

Step 4: Combine all the simplified parts.

$$ \frac{1}{3} \cdot x^{-2} \cdot 1 = \frac{1}{3} x^{-2} $$

Step 5: Convert the negative exponent to a positive exponent.

$$ \frac{1}{3} x^{-2} = \frac{1}{3x^2} $$

So, the fully simplified expression using only positive exponents is:

$$ \frac{1}{3x^2} $$

Question

Sure, let's simplify the given expression step by step.

The given expression is:

$$ \frac{6x^4 y^7}{18x^6 y^7} $$

Step 1: Simplify the coefficients (numerical part).

$$ \frac{6}{18} = \frac{1}{3} $$

Step 2: Simplify the $ x $ terms using the properties of exponents.

$$ \frac{x^4}{x^6} = x^{4-6} = x^{-2} $$

Step 3: Simplify the $ y $ terms using the properties of exponents.

$$ \frac{y^7}{y^7} = y^{7-7} = y^0 = 1 $$

Step 4: Combine all the simplified parts.

$$ \frac{1}{3} \cdot x^{-2} \cdot 1 = \frac{1}{3} x^{-2} $$

Step 5: Convert the negative exponent to a positive exponent.

$$ \frac{1}{3} x^{-2} = \frac{1}{3x^2} $$

So, the fully simplified expression using only positive exponents is:

$$ \frac{1}{3x^2} $$

Knowee AI · Accepted Answer