What is (3xy^2z^2)(15x^2yz^3) ?

The solution to (3xy^2z^2)(15x^2yz^3) is 45x^3y^3z^5

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simplify (3xy^2z^2)(15x^2yz^3)

simplify

(3 x y^{2} z^{2}) (15 x^{2} y z^{3})

45 x^{3} y^{3} z^{5}

Solution steps

(3 x y^{2} z^{2}) (15 x^{2} y z^{3})

Apply exponent rule:

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

x x^{2} = x^{1 + 2}

= 3 y^{2} z^{2} \cdot 15 x^{1 + 2} y z^{3}

Add the numbers:

1 + 2 = 3

= 3 y^{2} z^{2} \cdot 15 x^{3} y z^{3}

Apply exponent rule:

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

y^{2} y = y^{2 + 1}

= 3 z^{2} \cdot 15 x^{3} y^{2 + 1} z^{3}

Add the numbers:

2 + 1 = 3

= 3 z^{2} \cdot 15 x^{3} y^{3} z^{3}

Apply exponent rule:

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

z^{2} z^{3} = z^{2 + 3}

= 3 \cdot 15 x^{3} y^{3} z^{2 + 3}

Add the numbers:

2 + 3 = 5

= 3 \cdot 15 x^{3} y^{3} z^{5}

Multiply the numbers:

3 \cdot 15 = 45

= 45 x^{3} y^{3} z^{5}

(12.3 \times 1 0^{8}) (1.06 \times 1 0^{- 7})

3 z^{3} (4 x zy)

4 x - 1^{2}

1.4 \times 1 0^{- 7}

What is (3xy^2z^2)(15x^2yz^3) ?
The solution to (3xy^2z^2)(15x^2yz^3) is 45x^3y^3z^5