What is (4f^8g)(5f^{79}g^5) ?

The solution to (4f^8g)(5f^{79}g^5) is 20f^{87}g^6

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simplify (4f^8g)(5f^{79}g^5)

simplify

(4 f^{8} g) (5 f^{79} g^{5})

20 f^{87} g^{6}

Solution steps

(4 f^{8} g) (5 f^{79} g^{5})

Apply exponent rule:

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

f^{8} f^{79} = f^{8 + 79}

= 4 g \cdot 5 f^{8 + 79} g^{5}

Add the numbers:

8 + 79 = 87

= 4 g \cdot 5 f^{87} g^{5}

Apply exponent rule:

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

g g^{5} = g^{1 + 5}

= 4 \cdot 5 f^{87} g^{1 + 5}

Add the numbers:

1 + 5 = 6

= 4 \cdot 5 f^{87} g^{6}

Multiply the numbers:

4 \cdot 5 = 20

= 20 f^{87} g^{6}

3.14 x 1 0^{- 6}

x^{2} y (6 - x - 2 y)^{2}

What is (4f^8g)(5f^{79}g^5) ?
The solution to (4f^8g)(5f^{79}g^5) is 20f^{87}g^6