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Rewrite the following without an exponent.
10^(-2)
_____

Rewrite the following without an exponent.\newline10210^{-2}\newline_____\_\_\_\_\_

Full solution

Q. Rewrite the following without an exponent.\newline10210^{-2}\newline_____\_\_\_\_\_
  1. Understand Negative Exponent Rule: To rewrite an expression with a negative exponent without the exponent, we need to understand that a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. In other words, an=1ana^{-n} = \frac{1}{a^n}.
  2. Apply Rule to 10210^{-2}: Applying this rule to 10210^{-2}, we get 1/(102)1/(10^2).
  3. Calculate 10210^2: Now we calculate 10210^2, which is 10×10=10010 \times 10 = 100.
  4. Rewrite as 11/100100: Therefore, 10210^{-2} rewritten without an exponent is 1/1001/100.

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