Question

Find the expression below that is equivalent to 5^11/5^13

Answer 1

$\dfrac{5^{11}}{5^{13}}$

$= 5^{11-13}$

$= 5^{-2}$

$= \dfrac{1}{5^2}$

$= \dfrac{1}{25}$

Answer 2

Hi there!

Answer:
$\frac{ 5^{11} }{5 ^{13} } = 5 ^{11-13} = 5^{-2} = \frac{1}{ 5^{2} } = \frac{1}{25} = 0.04$

Additional notes:
In the first step, I used the algebraic rules for the exponents in a fraction, which says the following:
$\frac{ x^{a} }{ x^{b} } = x^{a-b}$

In the third step, I used the algebraic rules for negative exponents, which says the following:
$x^{-a} = \frac{1}{ x^{a} }$