Question

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

Answer 1

Answer:

$8^{\left(-8\times \:8\right)^6}=8^{64^6}$

Step-by-step explanation:

Given the expression

$8^{\left(-8\times \:8\right)^6}$

Let the expression

$8^{\left(-8\times \:8\right)^6}.....[A]$

first solving

$\left(-8\times \:8\right)^6$

$\mathrm{Multiply\:the\:numbers:}\:8\times \:8=64$

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

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

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

$=64^6$

so expression [A] becomes

$=8^{64^6}$

Therefore,

• $8^{\left(-8\times \:8\right)^6}=8^{64^6}$