Math Problem Statement

What would x to the -3 power equal?

Solution

The image asks, "What would xx to the power of 3-3 equal?"

To solve x3x^{-3}, we apply the rule of negative exponents, which states:

xn=1xnx^{-n} = \frac{1}{x^n}

So:

x3=1x3x^{-3} = \frac{1}{x^3}

Thus, the correct answer is:

1x3\boxed{\frac{1}{x^3}}

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is x2x^{-2} in simplified form?
  2. How would you express 242^{-4} as a fraction?
  3. What is the value of 10110^{-1}?
  4. Can a negative exponent result in a negative number?
  5. What is the general formula for xnx^{-n}?

Tip: Negative exponents indicate reciprocal values. For example, xn=1xnx^{-n} = \frac{1}{x^n}.

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponents
Negative Exponents

Formulas

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

Theorems

Exponent Rule
Negative Exponent Rule

Suitable Grade Level

Grades 7-9