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Popular >

simplify 5^{3+log_{5}(2)}

Solution

simplify

5^{3 + l o g_{5} (2)}

Solution

250

Solution steps

5^{3 + l o g_{5} (2)}

Apply exponent rule:

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

5^{3 + l o g_{5} (2)} = 5^{3} \cdot 5^{l o g_{5} (2)}

= 5^{3} \cdot 5^{l o g_{5} (2)}

5^{3} = 125

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

= 125 \cdot 2

Multiply the numbers:

125 \cdot 2 = 250

= 250

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Frequently Asked Questions (FAQ)

What is 5^{3+log_{5}(2)} ?
The solution to 5^{3+log_{5}(2)} is 250