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Popular >

simplify (w^4yz^5)(w^2y^6z)

Solution

simplify

(w^{4} y z^{5}) (w^{2} y^{6} z)

Solution

w^{6} y^{7} z^{6}

Solution steps

(w^{4} y z^{5}) (w^{2} y^{6} z)

Apply exponent rule:

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

w^{4} w^{2} = w^{4 + 2}

= y z^{5} w^{4 + 2} y^{6} z

Add the numbers:

4 + 2 = 6

= y z^{5} w^{6} y^{6} z

Apply exponent rule:

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

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

= z^{5} w^{6} y^{1 + 6} z

Add the numbers:

1 + 6 = 7

= z^{5} w^{6} y^{7} z

Apply exponent rule:

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

z^{5} z = z^{5 + 1}

= w^{6} y^{7} z^{5 + 1}

Add the numbers:

5 + 1 = 6

= w^{6} y^{7} z^{6}

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Frequently Asked Questions (FAQ)

What is (w^4yz^5)(w^2y^6z) ?
The solution to (w^4yz^5)(w^2y^6z) is w^6y^7z^6