What is (2pq^2r^3)(5q^3r^4s) ?

The solution to (2pq^2r^3)(5q^3r^4s) is 10pq^5r^7s

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simplify (2pq^2r^3)(5q^3r^4s)

simplify

(2 p q^{2} r^{3}) (5 q^{3} r^{4} s)

10 p q^{5} r^{7} s

Solution steps

(2 p q^{2} r^{3}) (5 q^{3} r^{4} s)

Apply exponent rule:

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

q^{2} q^{3} = q^{2 + 3}

= 2 p r^{3} \cdot 5 q^{2 + 3} r^{4} s

Add the numbers:

2 + 3 = 5

= 2 p r^{3} \cdot 5 q^{5} r^{4} s

Apply exponent rule:

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

r^{3} r^{4} = r^{3 + 4}

= 2 p \cdot 5 q^{5} r^{3 + 4} s

Add the numbers:

3 + 4 = 7

= 2 p \cdot 5 q^{5} r^{7} s

Multiply the numbers:

2 \cdot 5 = 10

= 10 p q^{5} r^{7} s

(0.2 \cdot 1 0^{5}) (0.4 \cdot 1 0^{- 12})

(2.2 \cdot 1 0^{- 3}) (4 \cdot 1 0^{- 2})

(5.4 \cdot 1 0^{- 6}) (1.8 \cdot 1 0^{- 6}) (4.2 \cdot 1 0^{7})

4.8456 e^{- 0.0673 (3)}

What is (2pq^2r^3)(5q^3r^4s) ?
The solution to (2pq^2r^3)(5q^3r^4s) is 10pq^5r^7s