What is (xy)^3(8x^2y^3)^2 ?

The solution to (xy)^3(8x^2y^3)^2 is 64x^7y^9

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simplify (xy)^3(8x^2y^3)^2

simplify

(x y)^{3} (8 x^{2} y^{3})^{2}

64 x^{7} y^{9}

Solution steps

(x y)^{3} (8 x^{2} y^{3})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x y)^{3} = x^{3} y^{3}

= x^{3} y^{3} (8 x^{2} y^{3})^{2}

Simplify

(8 x^{2} y^{3})^{2} : 64 x^{4} y^{6}

= x^{3} y^{3} \cdot 64 x^{4} y^{6}

Simplify

x^{3} x^{4} : x^{7}

= x^{7} y^{3} \cdot 64 y^{6}

Simplify

y^{3} y^{6} : y^{9}

= x^{7} y^{9} \cdot 64

= 64 x^{7} y^{9}

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

2 (x - 4) - 3 (5 - x) = 4 (2 x + 1)

1.19 \cdot 5.4 \cdot 3.12 - 5.4 \cdot 1.1 9^{2} - 1.93 \cdot 5.4 \cdot 1.19

x^{2} - 17 x + 70