What is (5r^2s^{-2})(-2r^5s^2) ?

The solution to (5r^2s^{-2})(-2r^5s^2) is -10r^7

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simplify (5r^2s^{-2})(-2r^5s^2)

simplify

(5 r^{2} s^{- 2}) (- 2 r^{5} s^{2})

- 10 r^{7}

Solution steps

(5 r^{2} s^{- 2}) (- 2 r^{5} s^{2})

Apply rule:

a (- b) = - ab

(5 r^{2} s^{- 2}) (- 2 r^{5} s^{2}) = - 5 r^{2} s^{- 2} \cdot 2 r^{5} s^{2}

= - 5 r^{2} s^{- 2} \cdot 2 r^{5} s^{2}

Multiply the numbers:

- 5 \cdot 2 = - 10

= - 10 r^{2} s^{- 2} r^{5} s^{2}

Simplify

r^{2} r^{5} : r^{7}

= - 10 r^{7} s^{- 2} s^{2}

Simplify

s^{- 2} s^{2} : 1

= - 10 r^{7} \cdot 1

Multiply the numbers:

- 10 \cdot 1 = - 10

= - 10 r^{7}

\frac{48}{30}

25 x^{2} + 75 x^{3} + 125 x^{4}

1 + lo g_{2} (48)

(t^{- 1})^{2}

(2 a + 7)^{2}

What is (5r^2s^{-2})(-2r^5s^2) ?
The solution to (5r^2s^{-2})(-2r^5s^2) is -10r^7