What is 8m^2n^3p^5(3m^6p^5) ?

The solution to 8m^2n^3p^5(3m^6p^5) is 24m^8n^3p^{10}

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simplify 8m^2n^3p^5(3m^6p^5)

simplify

8 m^{2} n^{3} p^{5} (3 m^{6} p^{5})

24 m^{8} n^{3} p^{10}

Solution steps

8 m^{2} n^{3} p^{5} (3 m^{6} p^{5})

Apply exponent rule:

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

m^{2} m^{6} = m^{2 + 6}

= 8 n^{3} p^{5} \cdot 3 m^{2 + 6} p^{5}

Add the numbers:

2 + 6 = 8

= 8 n^{3} p^{5} \cdot 3 m^{8} p^{5}

Apply exponent rule:

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

p^{5} p^{5} = p^{5 + 5}

= 8 n^{3} \cdot 3 m^{8} p^{5 + 5}

Add the numbers:

5 + 5 = 10

= 8 n^{3} \cdot 3 m^{8} p^{10}

Multiply the numbers:

8 \cdot 3 = 24

= 24 m^{8} n^{3} p^{10}

- ((n)^{3} e^{- (n)^{4}})

(30 \cdot 1 0^{- 2}) (162.86)

5 (1.6 x 1 0^{- 19})

423 M_{b}^{- 0.409}

4^{- \frac{l n ( 3 )}{l n ( 2 )}}

What is 8m^2n^3p^5(3m^6p^5) ?
The solution to 8m^2n^3p^5(3m^6p^5) is 24m^8n^3p^{10}