What is (x^{10}yz^3)(3x^3yz^3) ?

The solution to (x^{10}yz^3)(3x^3yz^3) is 3x^{13}y^2z^6

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simplify (x^{10}yz^3)(3x^3yz^3)

simplify

(x^{10} y z^{3}) (3 x^{3} y z^{3})

3 x^{13} y^{2} z^{6}

Solution steps

(x^{10} y z^{3}) (3 x^{3} y z^{3})

Apply exponent rule:

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

x^{10} x^{3} = x^{10 + 3}

= y z^{3} \cdot 3 x^{10 + 3} y z^{3}

Add the numbers:

10 + 3 = 13

= y z^{3} \cdot 3 x^{13} y z^{3}

Apply exponent rule:

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

yy = y^{1 + 1}

= z^{3} \cdot 3 x^{13} y^{1 + 1} z^{3}

Add the numbers:

1 + 1 = 2

= z^{3} \cdot 3 x^{13} y^{2} z^{3}

Apply exponent rule:

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

z^{3} z^{3} = z^{3 + 3}

= 3 x^{13} y^{2} z^{3 + 3}

Add the numbers:

3 + 3 = 6

= 3 x^{13} y^{2} z^{6}

\frac{5 a ^{5}}{b ^{13}}

e^{- n}

e^{- 2.4}

- 2 \cdot (13)^{2}

What is (x^{10}yz^3)(3x^3yz^3) ?
The solution to (x^{10}yz^3)(3x^3yz^3) is 3x^{13}y^2z^6