What is (-9r^4s^5)(4rs^7) ?

The solution to (-9r^4s^5)(4rs^7) is -36r^5s^{12}

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simplify (-9r^4s^5)(4rs^7)

simplify

(- 9 r^{4} s^{5}) (4 r s^{7})

- 36 r^{5} s^{12}

Solution steps

(- 9 r^{4} s^{5}) (4 r s^{7})

Apply rule:

(- a) = - a

(- 9 r^{4} s^{5}) = - 9 r^{4} s^{5}

= - 9 r^{4} s^{5} \cdot 4 r s^{7}

Multiply the numbers:

- 9 \cdot 4 = - 36

= - 36 r^{4} s^{5} r s^{7}

Simplify

r^{4} r : r^{5}

= - 36 r^{5} s^{5} s^{7}

Simplify

s^{5} s^{7} : s^{12}

= - 36 r^{5} s^{12}

\frac{1 0 ^{6}}{1 0 ^{- 3}}

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

x^{2} x^{- 12}

- 2 y^{3} + 3 y - 3 y + 7 y^{3} + 1 + 2 - 5

\frac{5}{2} - \frac{11}{3}