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Popular >

simplify 3x^2g^3(6x^4g^4)

Solution

simplify

3 x^{2} g^{3} (6 x^{4} g^{4})

Solution

18 x^{6} g^{7}

Solution steps

3 x^{2} g^{3} (6 x^{4} g^{4})

Apply exponent rule:

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

x^{2} x^{4} = x^{2 + 4}

= 3 g^{3} \cdot 6 x^{2 + 4} g^{4}

Add the numbers:

2 + 4 = 6

= 3 g^{3} \cdot 6 x^{6} g^{4}

Apply exponent rule:

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

g^{3} g^{4} = g^{3 + 4}

= 3 \cdot 6 x^{6} g^{3 + 4}

Add the numbers:

3 + 4 = 7

= 3 \cdot 6 x^{6} g^{7}

Multiply the numbers:

3 \cdot 6 = 18

= 18 x^{6} g^{7}

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Frequently Asked Questions (FAQ)

What is 3x^2g^3(6x^4g^4) ?
The solution to 3x^2g^3(6x^4g^4) is 18x^6g^7