What is (2a^3b^2)(27a^3b^{12}) ?

The solution to (2a^3b^2)(27a^3b^{12}) is 54a^6b^{14}

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simplify (2a^3b^2)(27a^3b^{12})

simplify

(2 a^{3} b^{2}) (27 a^{3} b^{12})

54 a^{6} b^{14}

Solution steps

(2 a^{3} b^{2}) (27 a^{3} b^{12})

Apply exponent rule:

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

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

= 2 b^{2} \cdot 27 a^{3 + 3} b^{12}

Add the numbers:

3 + 3 = 6

= 2 b^{2} \cdot 27 a^{6} b^{12}

Apply exponent rule:

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

b^{2} b^{12} = b^{2 + 12}

= 2 \cdot 27 a^{6} b^{2 + 12}

Add the numbers:

2 + 12 = 14

= 2 \cdot 27 a^{6} b^{14}

Multiply the numbers:

2 \cdot 27 = 54

= 54 a^{6} b^{14}

e^{2 t} \cdot e^{- 5 t}

x^{2} y^{2} (3 x^{2} - 2 y + 4)

- e^{- \frac{15}{12}}

1^{\circ} 1 0^{- 6}

8.48 \cdot 1 0^{- 3}

What is (2a^3b^2)(27a^3b^{12}) ?
The solution to (2a^3b^2)(27a^3b^{12}) is 54a^6b^{14}