What is (2a^3b^4)(6a^2b^3) ?

The solution to (2a^3b^4)(6a^2b^3) is 12a^5b^7

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simplify (2a^3b^4)(6a^2b^3)

simplify

(2 a^{3} b^{4}) (6 a^{2} b^{3})

12 a^{5} b^{7}

Solution steps

(2 a^{3} b^{4}) (6 a^{2} b^{3})

Apply exponent rule:

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

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

= 2 b^{4} \cdot 6 a^{3 + 2} b^{3}

Add the numbers:

3 + 2 = 5

= 2 b^{4} \cdot 6 a^{5} b^{3}

Apply exponent rule:

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

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

= 2 \cdot 6 a^{5} b^{4 + 3}

Add the numbers:

4 + 3 = 7

= 2 \cdot 6 a^{5} b^{7}

Multiply the numbers:

2 \cdot 6 = 12

= 12 a^{5} b^{7}

12.5 \cdot 1 0^{- 7}

(ln (5)) (\frac{2}{3 ^{4}})^{- 4}

2 (2 x^{\frac{1}{2}})

3 3 x + 1

9.6 \cdot 1 0^{- 7}