What is (4x^3y^5z)(6x^5y^4z) ?

The solution to (4x^3y^5z)(6x^5y^4z) is 24x^8y^9z^2

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simplify (4x^3y^5z)(6x^5y^4z)

simplify

(4 x^{3} y^{5} z) (6 x^{5} y^{4} z)

24 x^{8} y^{9} z^{2}

Solution steps

(4 x^{3} y^{5} z) (6 x^{5} y^{4} z)

Apply exponent rule:

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

x^{3} x^{5} = x^{3 + 5}

= 4 y^{5} z \cdot 6 x^{3 + 5} y^{4} z

Add the numbers:

3 + 5 = 8

= 4 y^{5} z \cdot 6 x^{8} y^{4} z

Apply exponent rule:

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

y^{5} y^{4} = y^{5 + 4}

= 4 z \cdot 6 x^{8} y^{5 + 4} z

Add the numbers:

5 + 4 = 9

= 4 z \cdot 6 x^{8} y^{9} z

Apply exponent rule:

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

zz = z^{1 + 1}

= 4 \cdot 6 x^{8} y^{9} z^{1 + 1}

Add the numbers:

1 + 1 = 2

= 4 \cdot 6 x^{8} y^{9} z^{2}

Multiply the numbers:

4 \cdot 6 = 24

= 24 x^{8} y^{9} z^{2}

0.2 a^{2} b^{3} \cdot (- 5 a^{3} b)^{2}

\frac{n}{n + 1}

e^{- t^{2}}

\frac{( n + 1 ) ^{2}}{n ^{2}}

e^{- 2 l n ∣ x ∣}

What is (4x^3y^5z)(6x^5y^4z) ?
The solution to (4x^3y^5z)(6x^5y^4z) is 24x^8y^9z^2