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Popular >

simplify 10^{3-log_{10}(5)}

Solution

simplify

1 0^{3 - l o g_{10} (5)}

Solution

200

Solution steps

1 0^{3 - l o g_{10} (5)}

Apply exponent rule:

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

= 1 0^{- l o g_{10} (5)} \cdot 1 0^{3}

Simplify

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

= 5^{- 1} \cdot 1 0^{3}

Simplify

= 200

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Frequently Asked Questions (FAQ)

What is 10^{3-log_{10}(5)} ?
The solution to 10^{3-log_{10}(5)} is 200