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Popular >

simplify (log_{10}(a^b))^2

Solution

simplify

(lo g_{10} (a^{b}))^{2}

Solution

b^{2} lo g_{10} (a)^{2}

Solution steps

lo g_{10} (a^{b})^{2}

Simplify

lo g_{10} (a^{b}) : b lo g_{10} (a)

= (b lo g_{10} (a))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(b lo g_{10} (a))^{2} = b^{2} lo g_{10} (a)^{2}

= b^{2} lo g_{10} (a)^{2}

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Frequently Asked Questions (FAQ)

What is (log_{10}(a^b))^2 ?
The solution to (log_{10}(a^b))^2 is b^2log_{10}(a)^2