Evaluate :
`(5^(-1) xx 2^(-1) ) xx 6^(-1)`

Answer

To evaluate the expression \( (5^{-1} \times 2^{-1}) \times 6^{-1} \), we will follow these steps:

### Step 1: Rewrite the negative exponents
We know that \( a^{-m} = \frac{1}{a^m} \). Therefore, we can rewrite each term with a negative exponent:

\[ 5^{-1} = \frac{1}{5}, \quad 2^{-1} = \frac{1}{2}, \quad 6^{-1} = \frac{1}{6} \]

### Step 2: Substitute the rewritten terms into the expression
Now we can substitute these values back into the expression:

\[ (5^{-1} \times 2^{-1}) \times 6^{-1} = \left(\frac{1}{5} \times \frac{1}{2}\right) \times \frac{1}{6} \]

### Step 3: Multiply the fractions
Now, we will multiply the fractions together:

\[ \frac{1}{5} \times \frac{1}{2} = \frac{1 \times 1}{5 \times 2} = \frac{1}{10} \]

Now, we multiply this result by \( \frac{1}{6} \):

\[ \frac{1}{10} \times \frac{1}{6} = \frac{1 \times 1}{10 \times 6} = \frac{1}{60} \]

### Step 4: Final Result
Thus, the value of the expression \( (5^{-1} \times 2^{-1}) \times 6^{-1} \) is:

\[ \frac{1}{60} \]