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Simplify (2³ × 4³)². Express as a single power.

User Glenn
by
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2 Answers

2 votes

Hi There!

Explanation:


(2^3 * 4^3)^2 = ((2^3 * (2^2)^3)^2 = 2^1^8

Answer:

2^18

Hope This Helps :)

User Jagge
by
8.1k points
7 votes


\bf (2^3* 4^3)^2\implies (2^3* (2^2)^3)^2\implies (2^3* (2^(2\cdot 3)))^2\implies [2^3\cdot 2^6]^2 \\\\\\ (2^(3+6))^2\implies (2^9)^2\implies 2^(9\cdot 2)\implies 2^(18)

User Touseef Murtaza
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8.8k points