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Popular >

simplify (4ef^2)^2(4ef^2)^2

Solution

simplify

(4 e f^{2})^{2} (4 e f^{2})^{2}

Solution

256 e^{4} f^{8}

Solution steps

(4 e f^{2})^{2} (4 e f^{2})^{2}

Apply exponent rule:

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

(4 e f^{2})^{2} (4 e f^{2})^{2} = (4 e f^{2})^{2 + 2}

= (4 e f^{2})^{2 + 2}

Add the numbers:

2 + 2 = 4

= (4 e f^{2})^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 4^{4} e^{4} (f^{2})^{4}

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

= 4^{4} e^{4} f^{8}

4^{4} = 256

= 256 e^{4} f^{8}

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Frequently Asked Questions (FAQ)

What is (4ef^2)^2(4ef^2)^2 ?
The solution to (4ef^2)^2(4ef^2)^2 is 256e^4f^8