Final answer:
The student's question involves the properties of exponents but seems to contain a misunderstanding; 6^8 - 6^5 does not equal 6. The correct simplification using exponent rules would apply to 6^8 / 6^5, which equals 6^3.
Step-by-step explanation:
The question at hand requires using the properties of exponents to complete an equivalent expression. Specifically, the question suggests subtracting two powers of 6 to arrive at an expression equal to 6. The properties of exponents include rules for multiplication, division, power of a power, and relations between negative and positive exponents. However, there seems to be a misunderstanding in the question, as 6⁸ - 6⁵ does not simplify to 6 using any standard exponent rules. An expression like 6⁸ / 6⁵ would simplify to 6³, applying the property of exponents for division, which states that we subtract the exponents when dividing like bases.