What is (2x^3y^2)*(5x^3yz^2) ?

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

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simplify (2x^3y^2)*(5x^3yz^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

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

x^{3} x^{3} = x^{3 + 3}

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

Add the numbers:

3 + 3 = 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}

\frac{x ^{2}}{( x ^{2} + 1 ) ^{2}}

e^{2} e^{x}

2.5 \times 1 0^{- 2}

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