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Popular >

simplify (4y^3)^4(3y^7)^2

Solution

simplify

(4 y^{3})^{4} (3 y^{7})^{2}

Solution

2304 y^{26}

Solution steps

(4 y^{3})^{4} (3 y^{7})^{2}

Simplify

(4 y^{3})^{4} : 256 y^{12}

= 256 y^{12} (3 y^{7})^{2}

Simplify

(3 y^{7})^{2} : 9 y^{14}

= 256 y^{12} \cdot 9 y^{14}

Multiply the numbers:

256 \cdot 9 = 2304

= 2304 y^{12} y^{14}

Apply exponent rule:

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

y^{12} y^{14} = y^{12 + 14}

= 2304 y^{12 + 14}

Add the numbers:

12 + 14 = 26

= 2304 y^{26}

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Frequently Asked Questions (FAQ)

What is (4y^3)^4(3y^7)^2 ?
The solution to (4y^3)^4(3y^7)^2 is 2304y^{26}