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Mathematics

Grade10

Easy

Question

Write the radical $root index 7 of 2 to the power of negative 3 end exponent end root$ using rational exponents.

- 3
$2^{\frac{- 3}{7}}$
$7^{3}$
$- 6$

hint Hint:

$m-th root of a space equals left parenthesis a right parenthesis to the power of begin inline style 1 over m end style end exponent _$

The correct answer is: $2 to the power of fraction numerator negative 3 over denominator 7 end fraction end exponent$

$root index 7 of 2 to the power of negative 3 end exponent end root equals open parentheses 2 to the power of negative 3 end exponent close parentheses to the power of 1 over 7 end exponent$
$equals 2 to the power of fraction numerator negative 3 over denominator 7 end fraction end exponent$

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