Answer:
[tex]\boxed{a=4}[/tex]
Explanation:
Part 1. Finding product of [tex](4a^2)(4^3)[/tex]
Step 1. [tex]4^3=64[/tex]
Step 2. [tex](4a^2) * (64) = (64 * 4)(a^2)[/tex]
Step 3. [tex](64 * 4)(a^2) = 256a^2[/tex]
[tex]\boxed{(4a^{2})(4^3) = 256a^{2}}[/tex]
Part 2. Simplifying the equation & solving for a
Step 1. [tex]\sqrt{256a^{2}} = \sqrt{64^{2}}[/tex] ⇒ [tex]16a = 64[/tex]
Step 2. [tex]\frac{16a}{16} = \frac{64}{16}[/tex] (divide both sides by coefficient of variable)
[tex]\boxed{a = 4}[/tex]
