What is (2x^4y^3)(5x^2y^4) ?

The solution to (2x^4y^3)(5x^2y^4) is 10x^6y^7

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simplify (2x^4y^3)(5x^2y^4)

simplify

(2 x^{4} y^{3}) (5 x^{2} y^{4})

10 x^{6} y^{7}

Solution steps

(2 x^{4} y^{3}) (5 x^{2} y^{4})

Apply exponent rule:

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

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

= 2 y^{3} \cdot 5 x^{4 + 2} y^{4}

Add the numbers:

4 + 2 = 6

= 2 y^{3} \cdot 5 x^{6} y^{4}

Apply exponent rule:

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

y^{3} y^{4} = y^{3 + 4}

= 2 \cdot 5 x^{6} y^{3 + 4}

Add the numbers:

3 + 4 = 7

= 2 \cdot 5 x^{6} y^{7}

Multiply the numbers:

2 \cdot 5 = 10

= 10 x^{6} y^{7}

\frac{33}{14}

P^{1} (4, - 6) P^{2} (- 3, 2)

e^{- x + 1}

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

(\frac{1}{6} a^{5}) (16 a^{5})