How do you simplify #\frac { 8y ^ { 6} } { 40y ^ { 2} }#?

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Answer 1 · 2018-08-02T02:07:00

#y^4/5#

We can rewrite this as

#8/40*y^6/y^2#

When we divide exponents of the same base, we subtract the exponents. Thus, this simplifies to

#y^4/5#

Hope this helps!

Answer 2 · 2018-08-02T02:26:28

#color(blue)(=> y^4 / 5#

#"According to theory of indices," a ^m / a^n = a^(m-n)#

#"Given " (8 y^6) / (40 y^2)#

#=> (cancel 8 y^6) / (cancel(40)^color(red)(5) y^2)#

#=> y^6 / (5 y^2)#

#=> (y^6 / y^2)/5 = (y^(6-2))/5#

#=> y^4/5#