What is (2/3 x^5y^5)*(1/3 x^2y^2) ?

The solution to (2/3 x^5y^5)*(1/3 x^2y^2) is (2x^7y^7)/9

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simplify (2/3 x^5y^5)*(1/3 x^2y^2)

simplify

(\frac{2}{3} x^{5} y^{5}) \cdot (\frac{1}{3} x^{2} y^{2})

\frac{2 x ^{7} y ^{7}}{9}

Solution steps

(\frac{2}{3} x^{5} y^{5}) (\frac{1}{3} x^{2} y^{2})

Apply exponent rule:

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

x^{5} x^{2} = x^{5 + 2}

= \frac{2}{3} y^{5} \frac{1}{3} x^{5 + 2} y^{2}

Add the numbers:

5 + 2 = 7

= \frac{2}{3} y^{5} \frac{1}{3} x^{7} y^{2}

Apply exponent rule:

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

y^{5} y^{2} = y^{5 + 2}

= \frac{2}{3} \cdot \frac{1}{3} x^{7} y^{5 + 2}

Add the numbers:

5 + 2 = 7

= \frac{2}{3} \cdot \frac{1}{3} x^{7} y^{7}

Multiply fractions:

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

= \frac{2 \cdot 1 \cdot x ^{7} y ^{7}}{3 \cdot 3}

Refine

= \frac{2 x ^{7} y ^{7}}{9}

x + 6 > 3

4 x^{2} - 12 x + 9

4 x^{3} + 16 x^{2} - 9 x - 36 > 0

1 - e^{- \frac{2}{3}}

- \frac{2}{7} (- \frac{1}{4})

What is (2/3 x^5y^5)*(1/3 x^2y^2) ?
The solution to (2/3 x^5y^5)*(1/3 x^2y^2) is (2x^7y^7)/9