PLease show work for all questions if possible
18r^-3 / (6r^2 x 3r^3)
Options.
A.r^3
B.r^-6
C.r^-8
D1/r^-3
Please show me the work for each question if possible.
Question 2
This one is probably easy but its confusing me.
9^2 x 9^5
_________
3^4 x 3^3
Question 3
m^4 x 3n^4 x 4m^2
__________________
2n x n^2 x 6m^2
Question 4
6^2 x 2^5 x 6^3
______________
12^3
1) 18r-3 / ( 6r2 · 3r3 ) = 18 / ( r3 · 6r2 · 3r3 ) = 18 / ( 18r8 ) = 1 / r8 = r-8
2) ( 92 · 95 ) / ( 34 · 33 ) = 97 / 37 = (32)7 / 37 = 314 / 37 = 37
3) ( m4 · 3n4 · 4m2 ) / (2n · n2 · 6m2 ) = ( 12 m6 n4 ) / (12 m2 n3 ) = m4 n
4) ( 62 · 25 · 63 ) / 123 = ( 25 · 65 ) / 123
= ( 25 · 25 · 35 ) / ( 43 · 33 )
= ( 25 · 25 · 35 ) / ( 23 · 23 · 33 )
= ( 210 · 35 ) / ( 26 · 33 )
= 24 · 32
1) 18r-3 / ( 6r2 · 3r3 ) = 18 / ( r3 · 6r2 · 3r3 ) = 18 / ( 18r8 ) = 1 / r8 = r-8
2) ( 92 · 95 ) / ( 34 · 33 ) = 97 / 37 = (32)7 / 37 = 314 / 37 = 37
3) ( m4 · 3n4 · 4m2 ) / (2n · n2 · 6m2 ) = ( 12 m6 n4 ) / (12 m2 n3 ) = m4 n
4) ( 62 · 25 · 63 ) / 123 = ( 25 · 65 ) / 123
= ( 25 · 25 · 35 ) / ( 43 · 33 )
= ( 25 · 25 · 35 ) / ( 23 · 23 · 33 )
= ( 210 · 35 ) / ( 26 · 33 )
= 24 · 32
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