What is (3a^2bx)(7b^3x^5) ?

The solution to (3a^2bx)(7b^3x^5) is 21a^2b^4x^6

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simplify (3a^2bx)(7b^3x^5)

simplify

(3 a^{2} b x) (7 b^{3} x^{5})

21 a^{2} b^{4} x^{6}

Solution steps

(3 a^{2} b x) (7 b^{3} x^{5})

Apply exponent rule:

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

b b^{3} = b^{1 + 3}

= 3 a^{2} x \cdot 7 b^{1 + 3} x^{5}

Add the numbers:

1 + 3 = 4

= 3 a^{2} x \cdot 7 b^{4} x^{5}

Apply exponent rule:

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

x x^{5} = x^{1 + 5}

= 3 a^{2} \cdot 7 b^{4} x^{1 + 5}

Add the numbers:

1 + 5 = 6

= 3 a^{2} \cdot 7 b^{4} x^{6}

Multiply the numbers:

3 \cdot 7 = 21

= 21 a^{2} b^{4} x^{6}

x \cdot e^{- x^{2}}

(2 x^{2}) (5 x^{3})

e^{(- 3 l n (x))}