What is (5x^6y^7z^3)(4xyz)(2x^4y^3z^5) ?

The solution to (5x^6y^7z^3)(4xyz)(2x^4y^3z^5) is 40x^{11}y^{11}z^9

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simplify (5x^6y^7z^3)(4xyz)(2x^4y^3z^5)

simplify

(5 x^{6} y^{7} z^{3}) (4 x yz) (2 x^{4} y^{3} z^{5})

40 x^{11} y^{11} z^{9}

Solution steps

(5 x^{6} y^{7} z^{3}) (4 x yz) (2 x^{4} y^{3} z^{5})

Apply exponent rule:

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

x^{6} x x^{4} = x^{6 + 1 + 4}

= 5 y^{7} z^{3} \cdot 4 yz \cdot 2 x^{6 + 1 + 4} y^{3} z^{5}

Add the numbers:

6 + 1 + 4 = 11

= 5 y^{7} z^{3} \cdot 4 yz \cdot 2 x^{11} y^{3} z^{5}

Apply exponent rule:

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

y^{7} y y^{3} = y^{7 + 1 + 3}

= 5 z^{3} \cdot 4 z \cdot 2 x^{11} y^{7 + 1 + 3} z^{5}

Add the numbers:

7 + 1 + 3 = 11

= 5 z^{3} \cdot 4 z \cdot 2 x^{11} y^{11} z^{5}

Apply exponent rule:

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

z^{3} z z^{5} = z^{3 + 1 + 5}

= 5 \cdot 4 \cdot 2 x^{11} y^{11} z^{3 + 1 + 5}

Add the numbers:

3 + 1 + 5 = 9

= 5 \cdot 4 \cdot 2 x^{11} y^{11} z^{9}

Multiply the numbers:

5 \cdot 4 \cdot 2 = 40

= 40 x^{11} y^{11} z^{9}

2 e^{- 3 \cdot 2}

π^{2}

\frac{( \frac{3 ^{7} \cdot 3 ^{4} \cdot 3}{3 ^{10}} ) ^{2}}{3 ^{2}}

e^{- b \cdot l n (a)}

What is (5x^6y^7z^3)(4xyz)(2x^4y^3z^5) ?
The solution to (5x^6y^7z^3)(4xyz)(2x^4y^3z^5) is 40x^{11}y^{11}z^9