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Write the following expression without negative exponents and without parentheses.

(10 x)^(-2)
Answer:

Write the following expression without negative exponents and without parentheses.\newline(10x)2 (10 x)^{-2} \newlineAnswer:

Full solution

Q. Write the following expression without negative exponents and without parentheses.\newline(10x)2 (10 x)^{-2} \newlineAnswer:
  1. Use Rule for Negative Exponents: To remove the negative exponent, we can use the rule that an=1ana^{-n} = \frac{1}{a^n}, where aa is the base and nn is the exponent. This means we need to take the reciprocal of the base when the exponent is negative.
  2. Apply Rule to (10x)2(10x)^{-2}: Applying this rule to (10x)2(10x)^{-2}, we get 1(10x)2\frac{1}{(10x)^2}. This removes the negative exponent.
  3. Square the Base: Now we need to square the base, which means we will square both 1010 and xx. So (10x)2(10x)^2 becomes 102×x210^2 \times x^2.
  4. Calculate Final Expression: Calculating 10210^2 gives us 100100. So we have 1/(100x2)1/(100x^2), which is the expression without negative exponents and without parentheses.

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