Question

8 with an exponent of -8 multiplied by 8 with an exponent of 6

Answer 1

`8^(\left(-8* \:8\right)^6)=8^(64^6)`

Explanation:

Given the expression

`8^(\left(-8* \:8\right)^6)`

Let the expression

`8^(\left(-8* \:8\right)^6).....[A]`

first solving

`\left(-8* \:8\right)^6`

`\mathrm{Multiply\:the\:numbers:}\:8* \:8=64`

`=\left(-64\right)^6`

`\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}`

`\left(-64\right)^6=64^6`

`=64^6`

so expression [A] becomes

`=8^(64^6)`

Therefore,

• 
  `8^(\left(-8* \:8\right)^6)=8^(64^6)`