What is (2/3 xy^4)(5/6 x^4y^5) ?

The solution to (2/3 xy^4)(5/6 x^4y^5) is (5x^5y^9)/9

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simplify (2/3 xy^4)(5/6 x^4y^5)

simplify

(\frac{2}{3} x y^{4}) (\frac{5}{6} x^{4} y^{5})

\frac{5 x ^{5} y ^{9}}{9}

Solution steps

(\frac{2}{3} x y^{4}) (\frac{5}{6} x^{4} y^{5})

Apply exponent rule:

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

x x^{4} = x^{1 + 4}

= \frac{2}{3} y^{4} \frac{5}{6} x^{1 + 4} y^{5}

Add the numbers:

1 + 4 = 5

= \frac{2}{3} y^{4} \frac{5}{6} x^{5} y^{5}

Apply exponent rule:

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

y^{4} y^{5} = y^{4 + 5}

= \frac{2}{3} \cdot \frac{5}{6} x^{5} y^{4 + 5}

Add the numbers:

4 + 5 = 9

= \frac{2}{3} \cdot \frac{5}{6} x^{5} y^{9}

Multiply fractions:

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

= \frac{2 \cdot 5 x ^{5} y ^{9}}{3 \cdot 6}

Refine

= \frac{10 x ^{5} y ^{9}}{18}

Cancel the common factor:

2

= \frac{5 x ^{5} y ^{9}}{9}

e^{- 0.3} \cdot 100

e^{- 3 s} \frac{4 s + 5}{s ^{2} + 5 s + 6}

3.72 \cdot 1 0^{- 3}

e^{- 3.722}

What is (2/3 xy^4)(5/6 x^4y^5) ?
The solution to (2/3 xy^4)(5/6 x^4y^5) is (5x^5y^9)/9