What is (2a^{12}b^3)(3a^2b^4) ?

The solution to (2a^{12}b^3)(3a^2b^4) is 6a^{14}b^7

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simplify (2a^{12}b^3)(3a^2b^4)

simplify

(2 a^{12} b^{3}) (3 a^{2} b^{4})

6 a^{14} b^{7}

Solution steps

(2 a^{12} b^{3}) (3 a^{2} b^{4})

Apply exponent rule:

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

a^{12} a^{2} = a^{12 + 2}

= 2 b^{3} \cdot 3 a^{12 + 2} b^{4}

Add the numbers:

12 + 2 = 14

= 2 b^{3} \cdot 3 a^{14} b^{4}

Apply exponent rule:

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

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

= 2 \cdot 3 a^{14} b^{3 + 4}

Add the numbers:

3 + 4 = 7

= 2 \cdot 3 a^{14} b^{7}

Multiply the numbers:

2 \cdot 3 = 6

= 6 a^{14} b^{7}

4. 5^{2} e^{- 4.5}

2 \cdot x + 2

(5 x^{2}) (4 x^{4})

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

What is (2a^{12}b^3)(3a^2b^4) ?
The solution to (2a^{12}b^3)(3a^2b^4) is 6a^{14}b^7