Question

simplify -4 power of 4 / -4 power of 8​

Answer 1

Answer:

16

Step-by-step explanation:

4^-4/8^-4

=8^4/4^4

2^4

=16

Answer 2

Answer:

Step-by-step explanation:

${\frac{-4^{4}}{4^{8} }$

numerator:($-4^{4}$)

               ⇒$4^{4}$

               ⇒${(4^{2})}^{2}$

denominator:($4^{8}$)

                 ⇒$({4^{4})}^2$

${\frac{-4^{4}}{4^{8} }$

⇒ $\frac{{(4^{2})}^{2}}{{(4^{4})}^4}$

⇒$(\frac{4^2}{4^4})^2$

⇒${(4^{(2-4)})}^2$ [∵$(\frac{a^{m}}{a^n})=a^{(m-n)}$]

⇒$(4^{-2} )^2$

⇒$4^{-4}$

You can simplify by the option

Hope this helps you