What is (3a^2b)*(12a^3b^5) ?

The solution to (3a^2b)*(12a^3b^5) is 36a^5b^6

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simplify (3a^2b)*(12a^3b^5)

simplify

(3 a^{2} b) \cdot (12 a^{3} b^{5})

36 a^{5} b^{6}

Solution steps

(3 a^{2} b) (12 a^{3} b^{5})

Apply exponent rule:

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

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

= 3 b \cdot 12 a^{2 + 3} b^{5}

Add the numbers:

2 + 3 = 5

= 3 b \cdot 12 a^{5} b^{5}

Apply exponent rule:

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

b b^{5} = b^{1 + 5}

= 3 \cdot 12 a^{5} b^{1 + 5}

Add the numbers:

1 + 5 = 6

= 3 \cdot 12 a^{5} b^{6}

Multiply the numbers:

3 \cdot 12 = 36

= 36 a^{5} b^{6}

8.5 \cdot 1 0^{- 5} \cdot 0.5

40 e^{- 0.03 \cdot \frac{4}{12}}

0.127 (9 2^{\frac{12}{39}})^{2}

1 x 1 0^{- 6} x \frac{1}{130.18}

5 n^{2} (6 n)