What is (x^5y^3z)(x^2y^2z^6) ?

The solution to (x^5y^3z)(x^2y^2z^6) is x^7y^5z^7

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simplify (x^5y^3z)(x^2y^2z^6)

simplify

(x^{5} y^{3} z) (x^{2} y^{2} z^{6})

x^{7} y^{5} z^{7}

Solution steps

(x^{5} y^{3} z) (x^{2} y^{2} z^{6})

Apply exponent rule:

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

x^{5} x^{2} = x^{5 + 2}

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

Add the numbers:

5 + 2 = 7

= y^{3} z x^{7} y^{2} z^{6}

Apply exponent rule:

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

y^{3} y^{2} = y^{3 + 2}

= z x^{7} y^{3 + 2} z^{6}

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

z z^{6} = z^{1 + 6}

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

Add the numbers:

1 + 6 = 7

= x^{7} y^{5} z^{7}

(15 x^{4} y^{3}) (16 a^{4} x^{3})

(6 - 6) (3 + 4)

(16 x^{4} - 24 x^{2} + 9) \cdot (16 x^{4} - 24 x^{2} + 9)

(- 5 x^{7} + 1 x^{6} - 1 x^{2})^{4} (- 1 x^{9} - 4 x^{3} - 1 x^{2})^{4}

e^{- \frac{t}{2}} cos (\frac{t 4 a - 1}{2})

What is (x^5y^3z)(x^2y^2z^6) ?
The solution to (x^5y^3z)(x^2y^2z^6) is x^7y^5z^7