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elena-s [515]
3 years ago
6

If (4^a^-2)(4^3) = 64^2 , what is the value of a? a. 0 b. 4 c. 5 d. 7 e. 8

SAT
1 answer:
liraira [26]3 years ago
5 0

Answer:

\boxed{a=4}

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 <em>a</em>

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

Step 2. \frac{16a}{16} = \frac{64}{16}   (divide both sides by coefficient of variable)

\boxed{a = 4}

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