KeisonO419160 KeisonO419160
  • 25-10-2022
  • Mathematics
contestada

(8^5) ^6=8 how do I solve it

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YechezkelG763210 YechezkelG763210
  • 25-10-2022

1) Let's simplify that expression into smaller bases:

Using the property of powers we can rewrite the original expression into a smaller base. So we can have:

[tex]\begin{gathered} (8^5)^6_{}=8 \\ ((2^3)^5)^6^{}=2^3 \\ 2^{90}=2^3 \end{gathered}[/tex]

Note that we went down from a base 8 to base 2. And we increased the exponents but the expressions are equivalent.

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