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Popular >

simplify (y^6z^9)(6y^4z^2)

Solution

simplify

(y^{6} z^{9}) (6 y^{4} z^{2})

Solution

6 y^{10} z^{11}

Solution steps

(y^{6} z^{9}) (6 y^{4} z^{2})

Apply exponent rule:

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

y^{6} y^{4} = y^{6 + 4}

= z^{9} \cdot 6 y^{6 + 4} z^{2}

Add the numbers:

6 + 4 = 10

= z^{9} \cdot 6 y^{10} z^{2}

Apply exponent rule:

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

z^{9} z^{2} = z^{9 + 2}

= 6 y^{10} z^{9 + 2}

Add the numbers:

9 + 2 = 11

= 6 y^{10} z^{11}

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Frequently Asked Questions (FAQ)

What is (y^6z^9)(6y^4z^2) ?
The solution to (y^6z^9)(6y^4z^2) is 6y^{10}z^{11}