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Popular >

simplify (3x^6y^8)(2x^4y)

Solution

simplify

(3 x^{6} y^{8}) (2 x^{4} y)

Solution

6 x^{10} y^{9}

Solution steps

(3 x^{6} y^{8}) (2 x^{4} y)

Apply exponent rule:

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

x^{6} x^{4} = x^{6 + 4}

= 3 y^{8} \cdot 2 x^{6 + 4} y

Add the numbers:

6 + 4 = 10

= 3 y^{8} \cdot 2 x^{10} y

Apply exponent rule:

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

y^{8} y = y^{8 + 1}

= 3 \cdot 2 x^{10} y^{8 + 1}

Add the numbers:

8 + 1 = 9

= 3 \cdot 2 x^{10} y^{9}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{10} y^{9}

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Frequently Asked Questions (FAQ)

What is (3x^6y^8)(2x^4y) ?
The solution to (3x^6y^8)(2x^4y) is 6x^{10}y^9