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natta225 [31]
3 years ago
10

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

Mathematics
2 answers:
kupik [55]3 years ago
7 0

Hi There!

Step-by-step explanation:

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

Answer:

2^18

Hope This Helps :)

Angelina_Jolie [31]3 years ago
3 0

\bf (2^3\times 4^3)^2\implies (2^3\times (2^2)^3)^2\implies (2^3\times (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}

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Step-by-step explanation:

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we can get LN via Pythagoras of the small triangle

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