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Popular >

simplify (6x^5yz^4)(6x^3y^3z)

Solution

simplify

(6 x^{5} y z^{4}) (6 x^{3} y^{3} z)

Solution

36 x^{8} y^{4} z^{5}

Solution steps

(6 x^{5} y z^{4}) (6 x^{3} y^{3} z)

Apply exponent rule:

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

6 \cdot 6 = 6^{1 + 1}

= x^{5} y z^{4} \cdot 6^{1 + 1} x^{3} y^{3} z

Add the numbers:

1 + 1 = 2

= x^{5} y z^{4} \cdot 6^{2} x^{3} y^{3} z

Apply exponent rule:

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

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

= y z^{4} \cdot 6^{2} x^{5 + 3} y^{3} z

Add the numbers:

5 + 3 = 8

= y z^{4} \cdot 6^{2} x^{8} y^{3} z

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= z^{4} \cdot 6^{2} x^{8} y^{1 + 3} z

Add the numbers:

1 + 3 = 4

= z^{4} \cdot 6^{2} x^{8} y^{4} z

Apply exponent rule:

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

z^{4} z = z^{4 + 1}

= 6^{2} x^{8} y^{4} z^{4 + 1}

Add the numbers:

4 + 1 = 5

= 6^{2} x^{8} y^{4} z^{5}

6^{2} = 36

= 36 x^{8} y^{4} z^{5}

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Frequently Asked Questions (FAQ)

What is (6x^5yz^4)(6x^3y^3z) ?
The solution to (6x^5yz^4)(6x^3y^3z) is 36x^8y^4z^5