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

The solution to (5x^4y^2)(3x^2y^3) is 15x^6y^5

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

simplify

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

15 x^{6} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 2 = 6

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{6} y^{5}

6 \cdot 1 + x^{2}

4.5 \cdot 1 0^{- 3} m

e^{- \frac{1}{360} (400)}

e^{- \frac{1}{x}}

5.67 \cdot 1 0^{(- 8)} (33)^{4}