What is (2e^3fh^2)(12e^4f^5h^2)(ef^2h^3) ?

The solution to (2e^3fh^2)(12e^4f^5h^2)(ef^2h^3) is 24e^8f^8h^7

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simplify (2e^3fh^2)(12e^4f^5h^2)(ef^2h^3)

simplify

(2 e^{3} f h^{2}) (12 e^{4} f^{5} h^{2}) (e f^{2} h^{3})

24 e^{8} f^{8} h^{7}

Solution steps

(2 e^{3} f h^{2}) (12 e^{4} f^{5} h^{2}) (e f^{2} h^{3})

Apply exponent rule:

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

e^{3} e^{4} e = e^{3 + 4 + 1}

= 2 f h^{2} \cdot 12 f^{5} h^{2} e^{3 + 4 + 1} f^{2} h^{3}

Add the numbers:

3 + 4 + 1 = 8

= 2 f h^{2} \cdot 12 f^{5} h^{2} e^{8} f^{2} h^{3}

Apply exponent rule:

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

f f^{5} f^{2} = f^{1 + 5 + 2}

= 2 h^{2} \cdot 12 h^{2} e^{8} f^{1 + 5 + 2} h^{3}

Add the numbers:

1 + 5 + 2 = 8

= 2 h^{2} \cdot 12 h^{2} e^{8} f^{8} h^{3}

Apply exponent rule:

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

h^{2} h^{2} h^{3} = h^{2 + 2 + 3}

= 2 \cdot 12 e^{8} f^{8} h^{2 + 2 + 3}

Add the numbers:

2 + 2 + 3 = 7

= 2 \cdot 12 e^{8} f^{8} h^{7}

Multiply the numbers:

2 \cdot 12 = 24

= 24 e^{8} f^{8} h^{7}

36

(6 k^{3}) (2 k^{2})

x - 5 \cdot 5 - x

x + y x

e^{- t} U (t - 1)

What is (2e^3fh^2)(12e^4f^5h^2)(ef^2h^3) ?
The solution to (2e^3fh^2)(12e^4f^5h^2)(ef^2h^3) is 24e^8f^8h^7