branneciachesney branneciachesney
  • 26-02-2020
  • Mathematics
contestada

write 6^8 • 6^7 as a single power

Respuesta :

iwillanswer iwillanswer
  • 03-03-2020

Write 6^8 • 6^7 as a single power:

[tex]6^8 \times 6^7 = 6^{15}[/tex]

Solution:

Given that,

We have to write 6^8 • 6^7 as a single power

Given is:

[tex]6^8 \times 6^7[/tex]

Use the following law of exponent

[tex]a^m \times a^n = a^{m+n}[/tex]

When, the base is same, powers gets added

Therefore,

[tex]6^8 \times 6^7 = 6^{8+7}\\\\6^8 \times 6^7 = 6^{15}[/tex]

Thus the given is written as a single power

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