What is (9x^6y^4z)(y^6z)(6x^3) ?

The solution to (9x^6y^4z)(y^6z)(6x^3) is 54x^9y^{10}z^2

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simplify (9x^6y^4z)(y^6z)(6x^3)

simplify

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

54 x^{9} y^{10} z^{2}

Solution steps

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

Apply exponent rule:

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

x^{6} x^{3} = x^{6 + 3}

= 9 y^{4} z y^{6} z \cdot 6 x^{6 + 3}

Add the numbers:

6 + 3 = 9

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

Apply exponent rule:

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

y^{4} y^{6} = y^{4 + 6}

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

Add the numbers:

4 + 6 = 10

= 9 z y^{10} z \cdot 6 x^{9}

Apply exponent rule:

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

zz = z^{1 + 1}

= 9 y^{10} z^{1 + 1} \cdot 6 x^{9}

Add the numbers:

1 + 1 = 2

= 9 y^{10} z^{2} \cdot 6 x^{9}

Multiply the numbers:

9 \cdot 6 = 54

= 54 x^{9} y^{10} z^{2}

\frac{n ^{7}}{( n + 1 ) ^{7}}

0.1 \cdot 1 0^{- 2}

(4 x)^{3}

0.1 \cdot 1 0^{- 4}

6.63 \cdot 1 0^{- 34}

What is (9x^6y^4z)(y^6z)(6x^3) ?
The solution to (9x^6y^4z)(y^6z)(6x^3) is 54x^9y^{10}z^2