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Popular >

simplify 2^{10log_{2}(n)}

Solution

simplify

2^{10 l o g_{2} (n)}

Solution

n^{10}

Solution steps

2^{10 l o g_{2} (n)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

2^{10 l o g_{2} (n)} = (2^{l o g_{2} (n)})^{10}

= (2^{l o g_{2} (n)})^{10}

Apply log rule:

a^{l o g_{a} (b)} = b

2^{l o g_{2} (n)} = n

= n^{10}

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Frequently Asked Questions (FAQ)

What is 2^{10log_{2}(n)} ?
The solution to 2^{10log_{2}(n)} is n^{10}