What is (10x^3y^8z^6)(11xy^8) ?

The solution to (10x^3y^8z^6)(11xy^8) is 110x^4y^{16}z^6

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simplify (10x^3y^8z^6)(11xy^8)

simplify

(10 x^{3} y^{8} z^{6}) (11 x y^{8})

110 x^{4} y^{16} z^{6}

Solution steps

(10 x^{3} y^{8} z^{6}) (11 x y^{8})

Apply exponent rule:

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

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

= 10 y^{8} z^{6} \cdot 11 x^{3 + 1} y^{8}

Add the numbers:

3 + 1 = 4

= 10 y^{8} z^{6} \cdot 11 x^{4} y^{8}

Apply exponent rule:

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

y^{8} y^{8} = y^{8 + 8}

= 10 z^{6} \cdot 11 x^{4} y^{8 + 8}

Add the numbers:

8 + 8 = 16

= 10 z^{6} \cdot 11 x^{4} y^{16}

Multiply the numbers:

10 \cdot 11 = 110

= 110 x^{4} y^{16} z^{6}

\frac{e ^{- 2 x}}{e ^{- y}}

- \frac{1}{2} a^{8} b^{8}

0.0005 e^{- \frac{4}{10}}

13.12 \cdot 1 0^{- 5}

What is (10x^3y^8z^6)(11xy^8) ?
The solution to (10x^3y^8z^6)(11xy^8) is 110x^4y^{16}z^6