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Popular >

simplify (ef^2)^5(ef^2)^3

Solution

simplify

(e f^{2})^{5} (e f^{2})^{3}

Solution

e^{8} f^{16}

Solution steps

(e f^{2})^{5} (e f^{2})^{3}

Apply exponent rule:

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

(e f^{2})^{5} (e f^{2})^{3} = (e f^{2})^{5 + 3}

= (e f^{2})^{5 + 3}

Add the numbers:

5 + 3 = 8

= (e f^{2})^{8}

Apply exponent rule:

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

= e^{8} (f^{2})^{8}

(f^{2})^{8} : f^{16}

= e^{8} f^{16}

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Frequently Asked Questions (FAQ)

What is (ef^2)^5(ef^2)^3 ?
The solution to (ef^2)^5(ef^2)^3 is e^8f^{16}