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Popular >

simplify (10fg^9)(8fg^4)

Solution

simplify

(10 f g^{9}) (8 f g^{4})

Solution

80 f^{2} g^{13}

Solution steps

(10 f g^{9}) (8 f g^{4})

Apply exponent rule:

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

ff = f^{1 + 1}

= 10 g^{9} \cdot 8 f^{1 + 1} g^{4}

Add the numbers:

1 + 1 = 2

= 10 g^{9} \cdot 8 f^{2} g^{4}

Apply exponent rule:

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

g^{9} g^{4} = g^{9 + 4}

= 10 \cdot 8 f^{2} g^{9 + 4}

Add the numbers:

9 + 4 = 13

= 10 \cdot 8 f^{2} g^{13}

Multiply the numbers:

10 \cdot 8 = 80

= 80 f^{2} g^{13}

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Frequently Asked Questions (FAQ)

What is (10fg^9)(8fg^4) ?
The solution to (10fg^9)(8fg^4) is 80f^2g^{13}