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Popular >

simplify ((10^{10})/(11^0))^{1/10}

Solution

simplify

(\frac{1 0 ^{10}}{1 1 ^{0}})^{\frac{1}{10}}

Solution

10

Solution steps

(\frac{1 0 ^{10}}{1 1 ^{0}})^{\frac{1}{10}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 1 0 ^{10} ) ^{\frac{1}{10}}}{( 1 1 ^{0} ) ^{\frac{1}{10}}}

(1 0^{10})^{\frac{1}{10}} = 10

= \frac{10}{( 1 1 ^{0} ) ^{\frac{1}{10}}}

(1 1^{0})^{\frac{1}{10}} = 1

= \frac{10}{1}

Apply rule

\frac{a}{1} = a

= 10

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Frequently Asked Questions (FAQ)

What is ((10^{10})/(11^0))^{1/10} ?
The solution to ((10^{10})/(11^0))^{1/10} is 10