What is (5x^4y^2w)(17xy^7w^2) ?

The solution to (5x^4y^2w)(17xy^7w^2) is 85x^5y^9w^3

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simplify (5x^4y^2w)(17xy^7w^2)

simplify

(5 x^{4} y^{2} w) (17 x y^{7} w^{2})

85 x^{5} y^{9} w^{3}

Solution steps

(5 x^{4} y^{2} w) (17 x y^{7} w^{2})

Apply exponent rule:

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

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

= 5 y^{2} w \cdot 17 x^{4 + 1} y^{7} w^{2}

Add the numbers:

4 + 1 = 5

= 5 y^{2} w \cdot 17 x^{5} y^{7} w^{2}

Apply exponent rule:

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

y^{2} y^{7} = y^{2 + 7}

= 5 w \cdot 17 x^{5} y^{2 + 7} w^{2}

Add the numbers:

2 + 7 = 9

= 5 w \cdot 17 x^{5} y^{9} w^{2}

Apply exponent rule:

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

w w^{2} = w^{1 + 2}

= 5 \cdot 17 x^{5} y^{9} w^{1 + 2}

Add the numbers:

1 + 2 = 3

= 5 \cdot 17 x^{5} y^{9} w^{3}

Multiply the numbers:

5 \cdot 17 = 85

= 85 x^{5} y^{9} w^{3}

e^{- tφ (λ)}

e^{x} - 2 e^{- x} + 2 \cdot e^{x} - 2 e^{- x}

(\frac{0. 2 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9}

\frac{( 2 x + 1 ) ( 3 x - 1 )}{46}

\frac{1}{3} \cdot π \cdot 5^{2} \cdot 5

What is (5x^4y^2w)(17xy^7w^2) ?
The solution to (5x^4y^2w)(17xy^7w^2) is 85x^5y^9w^3