Answer:
[tex]8^{\left(-8\times \:8\right)^6}=8^{64^6}[/tex]
Step-by-step explanation:
Given the expression
[tex]8^{\left(-8\times \:8\right)^6}[/tex]
Let the expression
[tex]8^{\left(-8\times \:8\right)^6}.....[A][/tex]
first solving
[tex]\left(-8\times \:8\right)^6[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:8\times \:8=64[/tex]
[tex]=\left(-64\right)^6[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}[/tex]
[tex]\left(-64\right)^6=64^6[/tex]
[tex]=64^6[/tex]
so expression [A] becomes
[tex]=8^{64^6}[/tex]
Therefore,
- [tex]8^{\left(-8\times \:8\right)^6}=8^{64^6}[/tex]
