What is (5mn)(7m^3p^2)(4n^5p) ?

The solution to (5mn)(7m^3p^2)(4n^5p) is 140m^4n^6p^3

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simplify (5mn)(7m^3p^2)(4n^5p)

simplify

(5 mn) (7 m^{3} p^{2}) (4 n^{5} p)

140 m^{4} n^{6} p^{3}

Solution steps

(5 mn) (7 m^{3} p^{2}) (4 n^{5} p)

Apply exponent rule:

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

m m^{3} = m^{1 + 3}

= 5 n \cdot 7 m^{1 + 3} p^{2} \cdot 4 n^{5} p

Add the numbers:

1 + 3 = 4

= 5 n \cdot 7 m^{4} p^{2} \cdot 4 n^{5} p

Apply exponent rule:

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

n n^{5} = n^{1 + 5}

= 5 \cdot 7 m^{4} p^{2} \cdot 4 n^{1 + 5} p

Add the numbers:

1 + 5 = 6

= 5 \cdot 7 m^{4} p^{2} \cdot 4 n^{6} p

Apply exponent rule:

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

p^{2} p = p^{2 + 1}

= 5 \cdot 7 m^{4} \cdot 4 n^{6} p^{2 + 1}

Add the numbers:

2 + 1 = 3

= 5 \cdot 7 m^{4} \cdot 4 n^{6} p^{3}

Multiply the numbers:

5 \cdot 7 \cdot 4 = 140

= 140 m^{4} n^{6} p^{3}

e^{- 0.87 5^{2}}

(4 x y) (6 x y^{4})

(4 x^{2} y) (x^{2} y^{3})

(15 x y^{4}) x y^{3}

What is (5mn)(7m^3p^2)(4n^5p) ?
The solution to (5mn)(7m^3p^2)(4n^5p) is 140m^4n^6p^3