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Popular >

simplify (2x^4)^4

Solution

simplify

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

Solution

16 x^{16}

Solution steps

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

Apply exponent rule:

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

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

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

2^{4} = 16

= 16 (x^{4})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{4})^{4} = x^{4 \cdot 4}

= 16 x^{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= 16 x^{16}

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Frequently Asked Questions (FAQ)

What is (2x^4)^4 ?
The solution to (2x^4)^4 is 16x^{16}