\(\frac{(2x+10)^7}{(x+5)^6}\)
Factor a 2 out of (2x + 10) to get 2(x + 5) .
\(=\,\frac{(\,2(x+5)\,)^7}{(x+5)^6}\)
Remember that, for example, (ab)3 = ab * ab * ab = aaa * bbb = a3b3
\( =\,\frac{2^7(x+5)^7}{(x+5)^6}\)
Reduce the fraction by (x + 5)6 .
\(=\,\frac{2^7(x+5)}{1} \\~\\ =\,128(x+5) \\~\\=\,128x+640\)
\(\frac{(2x+10)^7}{(x+5)^6}\)
Factor a 2 out of (2x + 10) to get 2(x + 5) .
\(=\,\frac{(\,2(x+5)\,)^7}{(x+5)^6}\)
Remember that, for example, (ab)3 = ab * ab * ab = aaa * bbb = a3b3
\( =\,\frac{2^7(x+5)^7}{(x+5)^6}\)
Reduce the fraction by (x + 5)6 .
\(=\,\frac{2^7(x+5)}{1} \\~\\ =\,128(x+5) \\~\\=\,128x+640\)