Question

What is the quotient? PLEASE HELP QUICK

Answer 1

Answer:

$\frac{1}{5^{9} }$

Step-by-step explanation:

$\frac{5^{-6} }{5^{3} }$

Rewrite $5^{3}$ as $5^{-6}$ × $5^{9}$. Cancel out $5^{-6}$ in both numerator and denominator.

= $\frac{1}{5^{9} }$

Hope it helps and have a great day! =D

~sunshine~

Answer 2

Answer:

$\mathrm{The\:first\:option}:\quad\dfrac{ 1 }{ { 5 }^{ 9 } }$

Step-by-step explanation:

$\dfrac{ { 5 }^{ -6 } }{ { 5 }^{ 3 } }$

$\mathrm{Apply\:exponent\:rule}:\quad \dfrac{ { x }^{ a } }{ { x }^{ b } } = { x }^{ a-b }$

$= { 5 }^{ -6-3 }$

$\mathrm{Subtract\:the\:numbers:}\:-6-3=-9$

$=5^{-9}$

$\mathrm{Apply\:exponent\:rule}:\quad \:{ a }^{ -b } = \dfrac{ 1 }{ { a }^{ b } }$

$\dfrac{ 1 }{ { 5 }^{ 9 } }$

So the correct answer would be:

$\mathrm{The\:first\:option}:\quad\dfrac{ 1 }{ { 5 }^{ 9 } }$