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Write the following expression without negative exponents and without parentheses. 3x^(-2) Answer:

Write the following expression without negative exponents and without parentheses.\newline3x−2 3 x^{-2} \newlineAnswer:

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Full solution

Q. Write the following expression without negative exponents and without parentheses.\newline3x−2 3 x^{-2} \newlineAnswer:
  1. Rewrite negative exponent: To remove the negative exponent, we can use the rule that a−n=1ana^{-n} = \frac{1}{a^n}, where aa is the base and nn is the positive exponent. This means we need to take the reciprocal of the base when the exponent is negative.\newlineCalculation: 3x−2=3×(1x2)3x^{-2} = 3 \times \left(\frac{1}{x^2}\right)
  2. Simplify further: Now that we have rewritten the expression without the negative exponent, we can simplify it further by understanding that multiplication by a number is the same as multiplying its reciprocal by the reciprocal of that number.\newlineCalculation: 3×(1/x2)=3x23 \times (1/x^2) = \frac{3}{x^2}

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