How do you multiply and simplify $\frac{n^{4}}{n^{8}} \cdot \frac{n^{6}}{n^{2}}$ $\frac { n ^ { 4} } { n ^ { 8} } \cdot \frac { n ^ { 6} } { n ^ { 2} }$ ?

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How do you multiply and simplify $\frac{n^{4}}{n^{8}} \cdot \frac{n^{6}}{n^{2}}$ $\frac { n ^ { 4} } { n ^ { 8} } \cdot \frac { n ^ { 6} } { n ^ { 2} }$ ?

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Answer 1 · 2018-08-08T09:20:44

$1$ $1$

Explanation:

$using the law of exponents$ $"using the "color(blue)"law of exponents"$

$∙ x a^{m} \times a^{n} \Leftrightarrow a^{(m + n)}$ $•color(white)(x)a^mxxa^nhArra^((m+n))$

$\frac{n^{4}}{n^{8}} \times \frac{n^{6}}{n^{2}}$ $n^4/n^8xxn^6/n^2$

$= \frac{n^{4} \times n^{6}}{n^{8} \times n^{2}} = \frac{n^{(6 + 4)}}{n^{(8 + 2)}} = \frac{n^{10}}{n^{10}} = 1$ $=(n^4xxn^6)/(n^8xxn^2)=(n^((6+4)))/(n^((8+2)))=n^10/n^10=1$

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How do you multiply and simplify $\frac{n^{4}}{n^{8}} \cdot \frac{n^{6}}{n^{2}}$ $\frac { n ^ { 4} } { n ^ { 8} } \cdot \frac { n ^ { 6} } { n ^ { 2} }$ ?

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How do you multiply and simplify $\frac{n^{4}}{n^{8}} \cdot \frac{n^{6}}{n^{2}}$ $\frac { n ^ { 4} } { n ^ { 8} } \cdot \frac { n ^ { 6} } { n ^ { 2} }$ ?