rrbad80y rrbad80y
  • 18-04-2022
  • Mathematics
contestada

Write 2^3 multiply √ 2 as a single power of 2.

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loneguy
loneguy loneguy
  • 18-04-2022

[tex]2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}[/tex]

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chibinwagwu
chibinwagwu chibinwagwu
  • 18-04-2022

Answer:

2^3 x 2^1/2 = 2^7/2

Step-by-step explanation:

Law of indices state that:

a^n × a^y = a^n+y

root 2 is the same thing as 2^1/2

so we can write this equation as;

2^3 × 2^1/2 = 2^3+1/2 = 2^7/2

Answer Link

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