### Instruction: An insect has just told me that she has laid $154_6$ eggs. In base 10, how many eggs did she lay?### Response: I know that base 6 means that each digit represents a power of 6, starting from the rightmost digit as the zeroth power.
So, $154_6$ means $1 \times 6^2 + 5 \times 6^1 + 4 \times 6^0$.
I can simplify this by multiplying out the powers of 6: $1 \times 36 + 5 \times 6 + 4 \times 1$.