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Popular >

simplify 2^{2+log_{2}(5)}

Solution

simplify

2^{2 + l o g_{2} (5)}

Solution

20

Solution steps

2^{2 + l o g_{2} (5)}

Apply exponent rule:

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

2^{2 + l o g_{2} (5)} = 2^{2} \cdot 2^{l o g_{2} (5)}

= 2^{2} \cdot 2^{l o g_{2} (5)}

2^{2} = 4

2^{l o g_{2} (5)} = 5

= 4 \cdot 5

Multiply the numbers:

4 \cdot 5 = 20

= 20

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Frequently Asked Questions (FAQ)

What is 2^{2+log_{2}(5)} ?
The solution to 2^{2+log_{2}(5)} is 20