What is (4f^5g^2h)(3fg^8h) ?

The solution to (4f^5g^2h)(3fg^8h) is 12f^6g^{10}h^2

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simplify (4f^5g^2h)(3fg^8h)

simplify

(4 f^{5} g^{2} h) (3 f g^{8} h)

12 f^{6} g^{10} h^{2}

Solution steps

(4 f^{5} g^{2} h) (3 f g^{8} h)

Apply exponent rule:

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

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

= 4 g^{2} h \cdot 3 f^{5 + 1} g^{8} h

Add the numbers:

5 + 1 = 6

= 4 g^{2} h \cdot 3 f^{6} g^{8} h

Apply exponent rule:

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

g^{2} g^{8} = g^{2 + 8}

= 4 h \cdot 3 f^{6} g^{2 + 8} h

Add the numbers:

2 + 8 = 10

= 4 h \cdot 3 f^{6} g^{10} h

Apply exponent rule:

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

hh = h^{1 + 1}

= 4 \cdot 3 f^{6} g^{10} h^{1 + 1}

Add the numbers:

1 + 1 = 2

= 4 \cdot 3 f^{6} g^{10} h^{2}

Multiply the numbers:

4 \cdot 3 = 12

= 12 f^{6} g^{10} h^{2}

0.02 (18700)^{0.77} 1 4^{- 0.385}

\frac{3}{2 π}

e^{- s t} (e^{7 t})

What is (4f^5g^2h)(3fg^8h) ?
The solution to (4f^5g^2h)(3fg^8h) is 12f^6g^{10}h^2