1 Answer

Tony Vu · Answer 1 · 2021-12-10T17:50:32+0000

Answer:

$\boxed{a=4}$

Step-by-step explanation:

Part 1. Finding product of
(4a^2)(4^3)

Step 1.
4^3=64

Step 2.
(4a^2) * (64) = (64 * 4)(a^2)

Step 3.
(64 * 4)(a^2) = 256a^2

$\boxed{(4a^(2))(4^3) = 256a^(2)}$

Part 2. Simplifying the equation & solving for a

Step 1.
$\sqrt{256a^(2)} = \sqrt{64^(2)}$ ⇒
16a = 64

Step 2.
(16a)/(16) = (64)/(16) (divide both sides by coefficient of variable)

$\boxed{a = 4}$

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