What is (5p^9q^3)(2pq^7) ?

The solution to (5p^9q^3)(2pq^7) is 10p^{10}q^{10}

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simplify (5p^9q^3)(2pq^7)

simplify

(5 p^{9} q^{3}) (2 p q^{7})

10 p^{10} q^{10}

Solution steps

(5 p^{9} q^{3}) (2 p q^{7})

Apply exponent rule:

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

p^{9} p = p^{9 + 1}

= 5 q^{3} \cdot 2 p^{9 + 1} q^{7}

Add the numbers:

9 + 1 = 10

= 5 q^{3} \cdot 2 p^{10} q^{7}

Apply exponent rule:

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

q^{3} q^{7} = q^{3 + 7}

= 5 \cdot 2 p^{10} q^{3 + 7}

Add the numbers:

3 + 7 = 10

= 5 \cdot 2 p^{10} q^{10}

Multiply the numbers:

5 \cdot 2 = 10

= 10 p^{10} q^{10}

(3 e^{2}) (- 2 e^{0})^{2}

e^{- 0.07}

23 \times 2

e^{- s t} \cdot e^{2 t}