Question

find (-4)5 ÷ (-4)8 ​

Answer 1

Answer:

${ - 4}^{5} \div {( - 4)}^{8} \\ = {( - 4)}^{5 - 8} \\ = {( - 4)}^{ - 3} \\ = {( \frac{ - 1}{4} )}^{3} \\ = - \frac{1}{4 \times 4 \times 4} \\ = -\: \frac{1}{64}$

Answer 2

Given,

$\[F = {\left( { - 4} \right)^5} \div {\left( { - 4} \right)^8}\]$

Solution,

Formula used,$\[{a^m} \div {a^n} = {a^{m - n}}\]$

Apply formula.

$\[\begin{array}{l} \Rightarrow F = {\left( { - 4} \right)^5} \div {\left( { - 4} \right)^8}\\ \Rightarrow F = {\left( { - 4} \right)^{5 - 8}}\\ \Rightarrow F = {\left( { - 4} \right)^{ - 3}}\\ \Rightarrow F = - \frac{1}{{64}}\end{array}\]$

Hence, the value is $\[ - \frac{1}{{64}}.\]$