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Popular >

simplify (x^2yz)(x^2y^6)

Solution

simplify

(x^{2} yz) (x^{2} y^{6})

Solution

x^{4} y^{7} z

Solution steps

(x^{2} yz) (x^{2} y^{6})

Apply exponent rule:

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

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

= yz x^{2 + 2} y^{6}

Add the numbers:

2 + 2 = 4

= yz x^{4} y^{6}

Apply exponent rule:

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

y y^{6} = y^{1 + 6}

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

Add the numbers:

1 + 6 = 7

= z x^{4} y^{7}

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Frequently Asked Questions (FAQ)

What is (x^2yz)(x^2y^6) ?
The solution to (x^2yz)(x^2y^6) is x^4y^7z