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Popular >

simplify (3f^3g)(2f^2g)

Solution

simplify

(3 f^{3} g) (2 f^{2} g)

Solution

6 f^{5} g^{2}

Solution steps

(3 f^{3} g) (2 f^{2} g)

Apply exponent rule:

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

f^{3} f^{2} = f^{3 + 2}

= 3 g \cdot 2 f^{3 + 2} g

Add the numbers:

3 + 2 = 5

= 3 g \cdot 2 f^{5} g

Apply exponent rule:

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

gg = g^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= 3 \cdot 2 f^{5} g^{2}

Multiply the numbers:

3 \cdot 2 = 6

= 6 f^{5} g^{2}

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Frequently Asked Questions (FAQ)

What is (3f^3g)(2f^2g) ?
The solution to (3f^3g)(2f^2g) is 6f^5g^2