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Popular >

simplify 2^{6log_{4}(n)+7}

Solution

simplify

2^{6 l o g_{4} (n) + 7}

Solution

128 n^{3}

Solution steps

2^{6 l o g_{4} (n) + 7}

Apply exponent rule:

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

2^{6 l o g_{4} (n) + 7} = 2^{6 l o g_{4} (n)} \cdot 2^{7}

= 2^{6 l o g_{4} (n)} \cdot 2^{7}

2^{6 l o g_{4} (n)} = n^{3}

2^{7} = 128

= n^{3} \cdot 128

= 128 n^{3}

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Frequently Asked Questions (FAQ)

What is 2^{6log_{4}(n)+7} ?
The solution to 2^{6log_{4}(n)+7} is 128n^3