What is (4x^2y^5z^5)(2x^2yz^2) ?

The solution to (4x^2y^5z^5)(2x^2yz^2) is 8x^4y^6z^7

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simplify (4x^2y^5z^5)(2x^2yz^2)

simplify

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

8 x^{4} y^{6} z^{7}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

= 4 y^{5} z^{5} \cdot 2 x^{4} y z^{2}

Apply exponent rule:

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

y^{5} y = y^{5 + 1}

= 4 z^{5} \cdot 2 x^{4} y^{5 + 1} z^{2}

Add the numbers:

5 + 1 = 6

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

Apply exponent rule:

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

z^{5} z^{2} = z^{5 + 2}

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

Add the numbers:

5 + 2 = 7

= 4 \cdot 2 x^{4} y^{6} z^{7}

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{4} y^{6} z^{7}

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

e^{- a x} \cdot e^{a x}

9.2 \cdot 1 0^{- 4}

(2.57805 \cdot 1 0^{- 9}) (1.48566 \cdot 1 0^{21})

e^{- \frac{3}{3}}

What is (4x^2y^5z^5)(2x^2yz^2) ?
The solution to (4x^2y^5z^5)(2x^2yz^2) is 8x^4y^6z^7