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Popular >

simplify (x^2y^3z)(xy^5z^3)

Solution

simplify

(x^{2} y^{3} z) (x y^{5} z^{3})

Solution

x^{3} y^{8} z^{4}

Solution steps

(x^{2} y^{3} z) (x y^{5} z^{3})

Apply exponent rule:

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

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

= y^{3} z x^{2 + 1} y^{5} z^{3}

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 5 = 8

= z x^{3} y^{8} z^{3}

Apply exponent rule:

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

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

= x^{3} y^{8} z^{1 + 3}

Add the numbers:

1 + 3 = 4

= x^{3} y^{8} z^{4}

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Frequently Asked Questions (FAQ)

What is (x^2y^3z)(xy^5z^3) ?
The solution to (x^2y^3z)(xy^5z^3) is x^3y^8z^4