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Popular >

simplify (4x^2y^4)(2x^2y^4)

Solution

simplify

(4 x^{2} y^{4}) (2 x^{2} y^{4})

Solution

8 x^{4} y^{8}

Solution steps

(4 x^{2} y^{4}) (2 x^{2} y^{4})

Apply exponent rule:

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

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

= 4 y^{4} \cdot 2 x^{2 + 2} y^{4}

Add the numbers:

2 + 2 = 4

= 4 y^{4} \cdot 2 x^{4} y^{4}

Apply exponent rule:

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

y^{4} y^{4} = y^{4 + 4}

= 4 \cdot 2 x^{4} y^{4 + 4}

Add the numbers:

4 + 4 = 8

= 4 \cdot 2 x^{4} y^{8}

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{4} y^{8}

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Frequently Asked Questions (FAQ)

What is (4x^2y^4)(2x^2y^4) ?
The solution to (4x^2y^4)(2x^2y^4) is 8x^4y^8