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Popular >

simplify 6y^2(2y^4)^2

Solution

simplify

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

Solution

24 y^{10}

Solution steps

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

Simplify

(2 y^{4})^{2} : 4 y^{8}

= 6 y^{2} \cdot 4 y^{8}

Multiply the numbers:

6 \cdot 4 = 24

= 24 y^{2} y^{8}

Apply exponent rule:

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

y^{2} y^{8} = y^{2 + 8}

= 24 y^{2 + 8}

Add the numbers:

2 + 8 = 10

= 24 y^{10}

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Frequently Asked Questions (FAQ)

What is 6y^2(2y^4)^2 ?
The solution to 6y^2(2y^4)^2 is 24y^{10}