Question

5^4/5^7 simplified is

Answer 1

$\textbf{Given that,}\\\\~~~\dfrac{5^4}{5^7}\\\\\\=5^{4-7}~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Apply exponent rule:}~\dfrac{a^m}{a^n} = a^{m-n}\\\\\\=5^{-3}\\\\\\=\dfrac 1{5^3}~~~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Apply exponent rule:}~ a^{-n} = \dfrac 1 {a^n},~~~a \neq 0 \\\\\\=\dfrac 1{125}\\\\\\=0.008$

Answer 2

Answer:

$\frac{1}{125}$

Step-by-step explanation:

$1.apply \: exponent \: rules : \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b}$

$= {5}^{4 - 7}$

$2.subtract \: the \: number : 4 - 7 = - 3$

$= {5}^{ - 3}$

$3.apply \: exponent \: rule : {a}^{ - b} = \frac{1}{ {a}^{b} }$

$= \frac{1}{ {5}^{3} }$

$4. \: {5}^{3} = 125$

$= \frac{1}{125}$