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Popular >

simplify (16x^4)^2

Solution

simplify

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

Solution

256 x^{8}

Solution steps

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

Apply exponent rule:

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

(16 x^{4})^{2} = 1 6^{2} (x^{4})^{2}

= 1 6^{2} (x^{4})^{2}

1 6^{2} = 256

= 256 (x^{4})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 256 x^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 256 x^{8}

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Frequently Asked Questions (FAQ)

What is (16x^4)^2 ?
The solution to (16x^4)^2 is 256x^8