What is (28x^5y^3z^2)*(4xyz^6) ?

The solution to (28x^5y^3z^2)*(4xyz^6) is 112x^6y^4z^8

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simplify (28x^5y^3z^2)*(4xyz^6)

simplify

(28 x^{5} y^{3} z^{2}) \cdot (4 x y z^{6})

112 x^{6} y^{4} z^{8}

Solution steps

(28 x^{5} y^{3} z^{2}) (4 x y z^{6})

Apply exponent rule:

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

x^{5} x = x^{5 + 1}

= 28 y^{3} z^{2} \cdot 4 x^{5 + 1} y z^{6}

Add the numbers:

5 + 1 = 6

= 28 y^{3} z^{2} \cdot 4 x^{6} y z^{6}

Apply exponent rule:

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

y^{3} y = y^{3 + 1}

= 28 z^{2} \cdot 4 x^{6} y^{3 + 1} z^{6}

Add the numbers:

3 + 1 = 4

= 28 z^{2} \cdot 4 x^{6} y^{4} z^{6}

Apply exponent rule:

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

z^{2} z^{6} = z^{2 + 6}

= 28 \cdot 4 x^{6} y^{4} z^{2 + 6}

Add the numbers:

2 + 6 = 8

= 28 \cdot 4 x^{6} y^{4} z^{8}

Multiply the numbers:

28 \cdot 4 = 112

= 112 x^{6} y^{4} z^{8}

\frac{e ^{9}}{e ^{4}}

(\frac{1}{2} a^{2} b) (\frac{4}{5} a^{3} b^{4})

4 π \cdot 1 0^{- 12}

e^{- s t} \cdot t \cdot e^{a t}

e^{s - t} \cdot e^{s + t}

What is (28x^5y^3z^2)*(4xyz^6) ?
The solution to (28x^5y^3z^2)*(4xyz^6) is 112x^6y^4z^8