Math Problem Statement

or Evaluate. Write your answer as a fraction or whole number without exponents.

3–3 =

Solution

To evaluate the expression 333^{-3}, we need to remember that a negative exponent indicates the reciprocal of the base raised to the positive exponent.

So:

33=133=1273^{-3} = \frac{1}{3^3} = \frac{1}{27}

The answer is 127\frac{1}{27}.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is 242^{-4} as a fraction?
  2. How do you simplify 525^{-2}?
  3. What is the value of 434^{-3} as a fraction?
  4. How do you evaluate 10110^{-1}?
  5. Can you convert 323^{-2} to a decimal?

Tip: Remember that any non-zero number raised to the power of zero equals 1.

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Math Problem Analysis

Mathematical Concepts

Exponents
Negative Exponents
Reciprocal

Formulas

a^{-n} = \frac{1}{a^n}

Theorems

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Suitable Grade Level

Grades 6-8