Question: User: (6*$\left(5^4\right)$ )^2*6*10^(-6)
1. **State the problem:**
Calculate the value of the expression $$(6\times \left(5^4\right))^2 \times 6 \times 10^{-6}$$.
2. **Recall the rules and formulas:**
- Exponentiation: $a^b$ means $a$ multiplied by itself $b$ times.
- Order of operations: parentheses first, then exponents, then multiplication.
3. **Calculate inside the parentheses:**
$$5^4 = 5 \times 5 \times 5 \times 5 = 625$$
4. **Multiply inside the parentheses:**
$$6 \times 625 = 3750$$
5. **Square the result:**
$$ (3750)^2 = 3750 \times 3750 = 14062500$$
6. **Multiply by 6:**
$$14062500 \times 6 = 84375000$$
7. **Multiply by $10^{-6}$:**
$$84375000 \times 10^{-6} = 84375000 \times \frac{1}{10^6} = 84375000 \times \frac{1}{1000000}$$
8. **Simplify the multiplication:**
$$= \cancel{84375000} \times \frac{1}{\cancel{1000000}} = 84.375$$
**Final answer:**
$$84.375$$