What is (6y^{16}z^{20})*(8yz^5) ?

The solution to (6y^{16}z^{20})*(8yz^5) is 48y^{17}z^{25}

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simplify (6y^{16}z^{20})*(8yz^5)

simplify

(6 y^{16} z^{20}) \cdot (8 y z^{5})

48 y^{17} z^{25}

Solution steps

(6 y^{16} z^{20}) (8 y z^{5})

Apply exponent rule:

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

y^{16} y = y^{16 + 1}

= 6 z^{20} \cdot 8 y^{16 + 1} z^{5}

Add the numbers:

16 + 1 = 17

= 6 z^{20} \cdot 8 y^{17} z^{5}

Apply exponent rule:

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

z^{20} z^{5} = z^{20 + 5}

= 6 \cdot 8 y^{17} z^{20 + 5}

Add the numbers:

20 + 5 = 25

= 6 \cdot 8 y^{17} z^{25}

Multiply the numbers:

6 \cdot 8 = 48

= 48 y^{17} z^{25}

(3 - 5 x)^{3} (x + 7) (2 x + 3)^{3}

(x y) (8 x^{2}) (2 x y)

(0)^{6} e^{- (0)^{2}}

What is (6y^{16}z^{20})*(8yz^5) ?
The solution to (6y^{16}z^{20})*(8yz^5) is 48y^{17}z^{25}