Answer:
[tex]4^m[/tex]
Step-by-step explanation:
When you exponent an exponent, you multiply the powers together.
When you divide exponents, you subtract the powers.
Step 1: Convert to same base
log₄64 = 3
Step 2: Rewrite equation
[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]
Step 3: Simplify
[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]
Step 4: Simplify
[tex]4^m[/tex]
