What is (2x^2y^3)(-5x^{-2}y^7) ?

The solution to (2x^2y^3)(-5x^{-2}y^7) is -10y^{10}

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simplify (2x^2y^3)(-5x^{-2}y^7)

simplify

(2 x^{2} y^{3}) (- 5 x^{- 2} y^{7})

- 10 y^{10}

Solution steps

(2 x^{2} y^{3}) (- 5 x^{- 2} y^{7})

Apply rule:

a (- b) = - ab

(2 x^{2} y^{3}) (- 5 x^{- 2} y^{7}) = - 2 x^{2} y^{3} \cdot 5 x^{- 2} y^{7}

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

Multiply the numbers:

- 2 \cdot 5 = - 10

= - 10 x^{2} y^{3} x^{- 2} y^{7}

Simplify

x^{2} x^{- 2} : 1

= - 10 \cdot 1 \cdot y^{3} y^{7}

Apply exponent rule:

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

y^{3} y^{7} = y^{3 + 7}

= - 10 \cdot 1 \cdot y^{3 + 7}

Add the numbers:

3 + 7 = 10

= - 10 \cdot 1 \cdot y^{10}

Multiply the numbers:

- 10 \cdot 1 = - 10

= - 10 y^{10}

(- 3) (- 9)

\frac{a ^{5}}{a ^{- 3}}

a^{2} - 100

(\frac{6 j}{7 k ^{2}})^{3}

\frac{20 b ^{5}}{( 4 b ^{3} ) ^{4}}

What is (2x^2y^3)(-5x^{-2}y^7) ?
The solution to (2x^2y^3)(-5x^{-2}y^7) is -10y^{10}