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

The solution to (2x^3y^2)(5x^2)(xyz^2) is 10x^6y^3z^2

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

simplify

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

10 x^{6} y^{3} z^{2}

Solution steps

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

Apply exponent rule:

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

x^{3} x^{2} x = x^{3 + 2 + 1}

= 2 y^{2} \cdot 5 x^{3 + 2 + 1} y z^{2}

Add the numbers:

3 + 2 + 1 = 6

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

Apply exponent rule:

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

y^{2} y = y^{2 + 1}

= 2 \cdot 5 x^{6} y^{2 + 1} z^{2}

Add the numbers:

2 + 1 = 3

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

Multiply the numbers:

2 \cdot 5 = 10

= 10 x^{6} y^{3} z^{2}

(1 + x)^{0} 0.535 \cdot (1 - x)^{0} 0.465

(1.8 \cdot 1 0^{9}) (6.7 \cdot 1 0^{12})

L e^{- 3 t} sin (5 t)

6. 7^{4} \cdot 2.7181 8^{- 6.7}

What is (2x^3y^2)(5x^2)(xyz^2) ?
The solution to (2x^3y^2)(5x^2)(xyz^2) is 10x^6y^3z^2