What is (3x^4y^2)(7x^2y^3) ?

The solution to (3x^4y^2)(7x^2y^3) is 21x^6y^5

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simplify (3x^4y^2)(7x^2y^3)

simplify

(3 x^{4} y^{2}) (7 x^{2} y^{3})

21 x^{6} y^{5}

Solution steps

(3 x^{4} y^{2}) (7 x^{2} y^{3})

Apply exponent rule:

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

x^{4} x^{2} = x^{4 + 2}

= 3 y^{2} \cdot 7 x^{4 + 2} y^{3}

Add the numbers:

4 + 2 = 6

= 3 y^{2} \cdot 7 x^{6} y^{3}

Apply exponent rule:

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

y^{2} y^{3} = y^{2 + 3}

= 3 \cdot 7 x^{6} y^{2 + 3}

Add the numbers:

2 + 3 = 5

= 3 \cdot 7 x^{6} y^{5}

Multiply the numbers:

3 \cdot 7 = 21

= 21 x^{6} y^{5}

3 x^{2} (2 x - 1) (x + 2)^{2}

2.56 \cdot 1 0^{- 4}

e^{- l n (\frac{1 + x}{1 - x})}