What is (x^3y^6z)(5x^2y^{12}z) ?

The solution to (x^3y^6z)(5x^2y^{12}z) is 5x^5y^{18}z^2

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simplify (x^3y^6z)(5x^2y^{12}z)

simplify

(x^{3} y^{6} z) (5 x^{2} y^{12} z)

5 x^{5} y^{18} z^{2}

Solution steps

(x^{3} y^{6} z) (5 x^{2} y^{12} z)

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

= y^{6} z \cdot 5 x^{3 + 2} y^{12} z

Add the numbers:

3 + 2 = 5

= y^{6} z \cdot 5 x^{5} y^{12} z

Apply exponent rule:

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

y^{6} y^{12} = y^{6 + 12}

= z \cdot 5 x^{5} y^{6 + 12} z

Add the numbers:

6 + 12 = 18

= z \cdot 5 x^{5} y^{18} z

Apply exponent rule:

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

zz = z^{1 + 1}

= 5 x^{5} y^{18} z^{1 + 1}

Add the numbers:

1 + 1 = 2

= 5 x^{5} y^{18} z^{2}

\frac{( a + b ) ^{4}}{( a - b ) ^{4}}

53 z y

x \cdot 2 x y

e^{- 0.01 (0) (- 6)^{2}}

- 1.4 \cdot 1 0^{- 8}

What is (x^3y^6z)(5x^2y^{12}z) ?
The solution to (x^3y^6z)(5x^2y^{12}z) is 5x^5y^{18}z^2