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

The solution to (3/4 x^2y^3)(2/3 xy)(5/4 x^2y^3) is (5x^5y^7)/8

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

simplify

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

\frac{5 x ^{5} y ^{7}}{8}

Solution steps

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

Apply exponent rule:

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

x^{2} x x^{2} = x^{2 + 1 + 2}

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

Add the numbers:

2 + 1 + 2 = 5

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

Apply exponent rule:

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

y^{3} y y^{3} = y^{3 + 1 + 3}

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

Add the numbers:

3 + 1 + 3 = 7

= \frac{3}{4} \cdot \frac{2}{3} \cdot \frac{5}{4} x^{5} y^{7}

Multiply fractions:

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

= \frac{3 \cdot 2 \cdot 5 x ^{5} y ^{7}}{4 \cdot 3 \cdot 4}

Cancel the common factor:

3

= \frac{2 \cdot 5 x ^{5} y ^{7}}{4 \cdot 4}

Refine

= \frac{10 x ^{5} y ^{7}}{16}

Cancel the common factor:

2

= \frac{5 x ^{5} y ^{7}}{8}

16137.431 \cdot 32 \cdot 1 0^{- 3}

1.38 \cdot 1 0^{- 2}

\frac{1}{2} (1.673 \cdot 1 0^{- 27}) (25560191.27316)^{2}

x^{- \frac{1}{2} = \frac{1}{5}}

(16 - 16 sin^{2} (x))^{3}

What is (3/4 x^2y^3)(2/3 xy)(5/4 x^2y^3) ?
The solution to (3/4 x^2y^3)(2/3 xy)(5/4 x^2y^3) is (5x^5y^7)/8