What is (3q^2r^2)(3q^5r^3) ?

The solution to (3q^2r^2)(3q^5r^3) is 9q^7r^5

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simplify (3q^2r^2)(3q^5r^3)

simplify

(3 q^{2} r^{2}) (3 q^{5} r^{3})

9 q^{7} r^{5}

Solution steps

(3 q^{2} r^{2}) (3 q^{5} r^{3})

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= q^{2} r^{2} \cdot 3^{1 + 1} q^{5} r^{3}

Add the numbers:

1 + 1 = 2

= q^{2} r^{2} \cdot 3^{2} q^{5} r^{3}

Apply exponent rule:

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

q^{2} q^{5} = q^{2 + 5}

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

Add the numbers:

2 + 5 = 7

= r^{2} \cdot 3^{2} q^{7} r^{3}

Apply exponent rule:

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

r^{2} r^{3} = r^{2 + 3}

= 3^{2} q^{7} r^{2 + 3}

Add the numbers:

2 + 3 = 5

= 3^{2} q^{7} r^{5}

3^{2} = 9

= 9 q^{7} r^{5}

4.6 \cdot 1 0^{- 6}

(1.6 \cdot 1 0^{- 19}) \cdot 2

(30045015) (3.48 \cdot 1 0^{- 11}) (0.028)

(9.2 \cdot 1 0^{- 20}) (3.6 \cdot 1 0^{17})

3.41 \cdot 1 0^{- 3}