What is (12x^3yz^3)(9x^2z^6) ?

The solution to (12x^3yz^3)(9x^2z^6) is 108x^5yz^9

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simplify (12x^3yz^3)(9x^2z^6)

simplify

(12 x^{3} y z^{3}) (9 x^{2} z^{6})

108 x^{5} y z^{9}

Solution steps

(12 x^{3} y z^{3}) (9 x^{2} z^{6})

Apply exponent rule:

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

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

= 12 y z^{3} \cdot 9 x^{3 + 2} z^{6}

Add the numbers:

3 + 2 = 5

= 12 y z^{3} \cdot 9 x^{5} z^{6}

Apply exponent rule:

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

z^{3} z^{6} = z^{3 + 6}

= 12 y \cdot 9 x^{5} z^{3 + 6}

Add the numbers:

3 + 6 = 9

= 12 y \cdot 9 x^{5} z^{9}

Multiply the numbers:

12 \cdot 9 = 108

= 108 x^{5} y z^{9}

(4 x) (8 x^{3})

\frac{74}{0.1} \cdot 1 0^{- 2}

81 x^{2} y^{2}

u y (u y + y) d y

4 x^{2 \circ} 3 x

What is (12x^3yz^3)(9x^2z^6) ?
The solution to (12x^3yz^3)(9x^2z^6) is 108x^5yz^9