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Popular >

simplify (3k^4)^4

Solution

simplify

(3 k^{4})^{4}

Solution

81 k^{16}

Solution steps

(3 k^{4})^{4}

Apply exponent rule:

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

(3 k^{4})^{4} = 3^{4} (k^{4})^{4}

= 3^{4} (k^{4})^{4}

3^{4} = 81

= 81 (k^{4})^{4}

Apply exponent rule:

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

assuming

a \geq 0

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

= 81 k^{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= 81 k^{16}

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Frequently Asked Questions (FAQ)

What is (3k^4)^4 ?
The solution to (3k^4)^4 is 81k^{16}