The answer is: "
36 " .
_______________________________Note: " (8 * 4) + 90 ÷ 9 " = " (8 * 4) + (90 ÷ 9) " = "32 + 10 = 42" .
We can rewrite the "fraction":
7 / [ (8 * 4) + 90 ÷ 9 ] ; as:
;
and can reduce this value to (and rewrite as): "
" ;
{ since: "
=
=
" .}.
Note: The "fraction" :
; the "9/6" cancel to "3/2" ;
{Since: "9÷3 = 3" ; and since: "6÷3 = 2" ).
So rewrite:
; as:
;
Note:
;
=
;
=
;
→ Note:
; can be reduced to; & rewritten as:
"
" ;
→ {since: "
=
;
=
;
______________________________Note that: (6²) ⁻² = 6⁽ ² * ⁻²⁾ = 6⁻ ⁴ ;
=
;
_________________________________________________________So, we can rewrite our expression as:
÷
*
;
_________________________________________________________Note:
_________________________________________________________ ÷
*
;
= (
÷
) *
;
= (
*
) *
;
________________________________________________________Start with :
________________________________________________________ → (
*
) ;
The "6" in the "
" ; cancels to a "1" ;
and the "6⁴ " in the "
) " ; cancels to a "6³ " ;
→ {Since: "6⁴ / 6 = 6⁴ / 6¹ = 6⁽⁴ ⁻ ¹⁾ = 6³ ;
→ and we have:
*
;
→ The "
" can be eliminated; since "1÷1= 1 " ;
and since: any value, divided by "1", equal that same value; & since "any value, multiplied by "1"; equals that same value" ;
________________________________________________________ We have: " 6³ " .
________________________________________________________Now, we multiplied this value, " 6³ " , by "
" ;
→ 6³ *
;
=
*
;
Note: The "6³ " cancels out to "6² " ; and the "6" cancels out to "1" ;
{since: "6³ ÷ 6 = 6³ ÷ 6¹ = 6⁽³ ⁻ ¹⁾ = 6² " ;
and since: "6 ÷ 6 = 1 " ;
________________________________________________________→ The answer is: 6² = 6 * 6 =
36 ;
________________________________________________________The answer is: " <span>
36 " .</span>
________________________________________________________
