What is (9ax^2y^3z)(3bx^3y^5z^2) ?

The solution to (9ax^2y^3z)(3bx^3y^5z^2) is 27abx^5y^8z^3

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simplify (9ax^2y^3z)(3bx^3y^5z^2)

simplify

(9 a x^{2} y^{3} z) (3 b x^{3} y^{5} z^{2})

27 ab x^{5} y^{8} z^{3}

Solution steps

(9 a x^{2} y^{3} z) (3 b x^{3} y^{5} z^{2})

Apply exponent rule:

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

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

= 9 a y^{3} z \cdot 3 b x^{2 + 3} y^{5} z^{2}

Add the numbers:

2 + 3 = 5

= 9 a y^{3} z \cdot 3 b x^{5} y^{5} z^{2}

Apply exponent rule:

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

y^{3} y^{5} = y^{3 + 5}

= 9 a z \cdot 3 b x^{5} y^{3 + 5} z^{2}

Add the numbers:

3 + 5 = 8

= 9 a z \cdot 3 b x^{5} y^{8} z^{2}

Apply exponent rule:

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

z z^{2} = z^{1 + 2}

= 9 a \cdot 3 b x^{5} y^{8} z^{1 + 2}

Add the numbers:

1 + 2 = 3

= 9 a \cdot 3 b x^{5} y^{8} z^{3}

Multiply the numbers:

9 \cdot 3 = 27

= 27 ab x^{5} y^{8} z^{3}

4500 e^{- 0.15 (4)}

0.05 \cdot 1 0^{- 6}

\frac{y ^{\frac{1}{2}}}{x ^{\frac{1}{2}}}

x^{0.5} \cdot y^{0.5}

(5 x y^{2}) (4 x^{8} y^{5})

What is (9ax^2y^3z)(3bx^3y^5z^2) ?
The solution to (9ax^2y^3z)(3bx^3y^5z^2) is 27abx^5y^8z^3