What is (3a^3b^3)(16a^2b^4) ?

The solution to (3a^3b^3)(16a^2b^4) is 48a^5b^7

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simplify (3a^3b^3)(16a^2b^4)

simplify

(3 a^{3} b^{3}) (16 a^{2} b^{4})

48 a^{5} b^{7}

Solution steps

(3 a^{3} b^{3}) (16 a^{2} b^{4})

Apply exponent rule:

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

a^{3} a^{2} = a^{3 + 2}

= 3 b^{3} \cdot 16 a^{3 + 2} b^{4}

Add the numbers:

3 + 2 = 5

= 3 b^{3} \cdot 16 a^{5} b^{4}

Apply exponent rule:

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

b^{3} b^{4} = b^{3 + 4}

= 3 \cdot 16 a^{5} b^{3 + 4}

Add the numbers:

3 + 4 = 7

= 3 \cdot 16 a^{5} b^{7}

Multiply the numbers:

3 \cdot 16 = 48

= 48 a^{5} b^{7}

(2 x^{2} y^{3}) (3 x z^{2}) (5 y)

e^{- 0.46209 \cdot 16}

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

1.3 e^{- 0.3 (3.8)}

3.3 \cdot 1 0^{- 2}