What is (4a^4b^5)(3a^2b^3) ?

The solution to (4a^4b^5)(3a^2b^3) is 12a^6b^8

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simplify (4a^4b^5)(3a^2b^3)

simplify

(4 a^{4} b^{5}) (3 a^{2} b^{3})

12 a^{6} b^{8}

Solution steps

(4 a^{4} b^{5}) (3 a^{2} b^{3})

Apply exponent rule:

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

a^{4} a^{2} = a^{4 + 2}

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

Add the numbers:

4 + 2 = 6

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

Apply exponent rule:

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

b^{5} b^{3} = b^{5 + 3}

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

Add the numbers:

5 + 3 = 8

= 4 \cdot 3 a^{6} b^{8}

Multiply the numbers:

4 \cdot 3 = 12

= 12 a^{6} b^{8}

\frac{31}{1.7}

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

3 v v

(3.72 \cdot 1 0^{- 7}) 2

(993833.5835) \cdot 1 0^{- 6}