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Write the following expression without negative exponents and without parentheses. (5x)^(-3) Answer:

Write the following expression without negative exponents and without parentheses.\newline(5x)−3 (5 x)^{-3} \newlineAnswer:

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Full solution

Q. Write the following expression without negative exponents and without parentheses.\newline(5x)−3 (5 x)^{-3} \newlineAnswer:
  1. Apply Negative Exponent Rule: To remove the negative exponent, recall that a−n=1ana^{-n} = \frac{1}{a^n}. Apply this rule to the given expression (5x)−3(5x)^{-3}.\newlineCalculation: (5x)−3=1(5x)3(5x)^{-3} = \frac{1}{(5x)^3}
  2. Simplify Expression: Now, simplify the expression without the negative exponent. Since there are no parentheses to remove after this step, the expression is already in the desired form.\newlineCalculation: 1(5x)3=153×x3=1125x3\frac{1}{(5x)^3} = \frac{1}{5^3 \times x^3} = \frac{1}{125x^3}

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