Which answer is equivalent to 25/36

Question

asked Oct 9, 2019 183k views

2 Answers

Xiangwu · Answer 1 · 2019-10-16T03:47:59+0000

Answer:

C.
$\sqrt{(25)/(36) }$

Step-by-step explanation:

This comes from the property of exponents which says for any numbers
,
, and
,

(a*b)^c=a^c*b^c

Since square roots are just exponents of
(1)/(2) power (
√(x) =x^(1)/(2) ), and
(1)/(x) =x^(-1) , we have

$(√(25))/(√(36) )=25^{(1)/(2) }*36^{-(1)/(2) }=25^{(1)/(2) }*(36^(-1))^{(1)/(2) }=(25*(36^(-1))})^{(1)/(2)$

$=\sqrt{25*36^(-1)} =\sqrt{(25)/(36) }$

Which is choice C.