What is (x^2)/4*(x^6)/4 ?

The solution to (x^2)/4*(x^6)/4 is (x^8)/(16)

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simplify (x^2)/4*(x^6)/4

simplify

\frac{x ^{2}}{4} \cdot \frac{x ^{6}}{4}

\frac{x ^{8}}{16}

Solution steps

\frac{x ^{2}}{4} \cdot \frac{x ^{6}}{4}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{x ^{2} x ^{6}}{4 \cdot 4}

Simplify

x^{2} x^{6} : x^{8}

= \frac{x ^{8}}{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= \frac{x ^{8}}{16}

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