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Popular >

simplify (xy^2z^3)(x^3y^2z)

Solution

simplify

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

Solution

x^{4} y^{4} z^{4}

Solution steps

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

Apply exponent rule:

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

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

= y^{2} z^{3} x^{1 + 3} y^{2} z

Add the numbers:

1 + 3 = 4

= y^{2} z^{3} x^{4} y^{2} z

Apply exponent rule:

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

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

= z^{3} x^{4} y^{2 + 2} z

Add the numbers:

2 + 2 = 4

= z^{3} x^{4} y^{4} z

Apply exponent rule:

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

z^{3} z = z^{3 + 1}

= x^{4} y^{4} z^{3 + 1}

Add the numbers:

3 + 1 = 4

= x^{4} y^{4} z^{4}

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Frequently Asked Questions (FAQ)

What is (xy^2z^3)(x^3y^2z) ?
The solution to (xy^2z^3)(x^3y^2z) is x^4y^4z^4