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Popular >

simplify (2g^2h^4)*(3g^3h)

Solution

simplify

(2 g^{2} h^{4}) \cdot (3 g^{3} h)

Solution

6 g^{5} h^{5}

Solution steps

(2 g^{2} h^{4}) (3 g^{3} h)

Apply exponent rule:

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

g^{2} g^{3} = g^{2 + 3}

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

Add the numbers:

2 + 3 = 5

= 2 h^{4} \cdot 3 g^{5} h

Apply exponent rule:

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

h^{4} h = h^{4 + 1}

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

Add the numbers:

4 + 1 = 5

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

Multiply the numbers:

2 \cdot 3 = 6

= 6 g^{5} h^{5}

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Frequently Asked Questions (FAQ)

What is (2g^2h^4)*(3g^3h) ?
The solution to (2g^2h^4)*(3g^3h) is 6g^5h^5