Answer:
a⁻³⁵
Step-by-step explanation:
((a²)⁻²)⁵ ÷ (a⁴a)³
((a²)⁻²)⁵ ÷ (a⁴a¹)³
= (a⁻⁴)⁵ ÷ (a⁵)³
= a⁻²⁰ ÷ a¹⁵
= a⁻²⁰⁻¹⁵
= a⁻³⁵
Exponent rules:
Multiplying two numbers with same base: add exponents
Dividing two numbers with same base: subtract exponents
Number with exponent raised to another exponent: multiply the exponents together
