What is (((x+y)^{12}))/(((x+y)^4)) ?

The solution to (((x+y)^{12}))/(((x+y)^4)) is (x+y)^8

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simplify (((x+y)^{12}))/(((x+y)^4))

simplify

\frac{( ( x + y ) ^{12} )}{( ( x + y ) ^{4} )}

(x + y)^{8}

Solution steps

\frac{( x + y ) ^{12}}{( x + y ) ^{4}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + y)^{12} = (x + y)^{4} (x + y)^{8}

= \frac{( x + y ) ^{4} ( x + y ) ^{8}}{( x + y ) ^{4}}

Cancel the common factor:

(x + y)^{4}

= (x + y)^{8}

\frac{( 3 y ^{5} ) ^{3}}{2 y ^{6}}

6 \cdot \frac{3}{2}

(x + 6) (3 x + 4)

\frac{36}{64}

\frac{36}{81}

What is (((x+y)^{12}))/(((x+y)^4)) ?
The solution to (((x+y)^{12}))/(((x+y)^4)) is (x+y)^8