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Popular >

simplify 10^{5log_{10}(5)}

Solution

simplify

1 0^{5 l o g_{10} (5)}

Solution

3125

Solution steps

1 0^{5 l o g_{10} (5)}

Apply exponent rule:

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

1 0^{5 l o g_{10} (5)} = (1 0^{l o g_{10} (5)})^{5}

= (1 0^{l o g_{10} (5)})^{5}

Apply log rule:

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

1 0^{l o g_{10} (5)} = 5

= 5^{5}

5^{5} = 3125

= 3125

Popular Examples

simplify (\sqrt[3]{x})^4 simplify

simplify (8/27)^{2/3}simplify

(\frac{8}{27})^{\frac{2}{3}}

-5(x-1)-x+1=-18

- 5 (x - 1) - x + 1 = - 18

∣ 5 x ∣ \geq 10

18^2=u^2+2*5*30

1 8^{2} = u^{2} + 2 \cdot 5 \cdot 30

Frequently Asked Questions (FAQ)

What is 10^{5log_{10}(5)} ?
The solution to 10^{5log_{10}(5)} is 3125