The correct answer is Yes, a to the 12th power times a to the fourth power = a to the eighth power times a to the eighth power or a¹² x a⁴ = a⁸ x a⁸.
The first rule of multiplying exponents notes that when you are multiplying exponents with the same base, you can simply add the exponents in question.
This means that the product of:
a¹² x a⁴ = a ¹² ⁺ ⁴
= a¹⁶
The product of:
a⁸ x a⁸ = a⁸ ⁺ ⁸
= a¹⁶'
This shows that a¹² x a⁴ = a⁸ x a⁸ or a to the 12th power times a to the fourth power = a to the eighth power times a to the eighth power.
Find out more on the exponents rule at https://brainly.com/question/11975096
#SPJ1