Final answer:
To estimate 12⁸ in expanded form, rewrite it as (2³ × 3)⁸ and then further expand to (2³)⁸ × 3⁸, and apply exponents separately.
Step-by-step explanation:
The question asks how to estimate 12⁸ in expanded form. The expanded form is a way of writing numbers to show the value of each digit.
However, it appears there may be some confusion with the question as 12⁸, which is 12 raised to the power of 8, is not typically expressed in expanded form but can be approximated if one factors 12 into 2³ and 3.
By applying the properties of exponents, we can rewrite 12⁸ as (2³ × 3)⁸, which can then be further expanded to (2³)⁸ × 3⁸ since the base numbers are being multiplied.
To estimate this, one could use the fact that 2³ is equal to 8, which is divisible by 2 (an even number), and then apply the exponent of 8 to both 2³ and 3 separately. This results in a very large number.