Questions: Rewrite the expression with only positive exponents. Assume the variables do not equal zero.

Rewrite the expression with only positive exponents. Assume the variables do not equal zero.
Transcript text: Rewrite the expression with only positive exponents. Assume the variables do not equal zero.
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Solution

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Solution Steps

Solution Approach
  1. Calculate \(42^3\).
  2. Rewrite the expression with only positive exponents.
Step 1: Calculate \(42^3\)

To find \(42^3\), we perform the calculation: \[ 42^3 = 42 \times 42 \times 42 = 74088 \]

Step 2: Rewrite the Expression with Positive Exponents

Given the expression \(x^{-2} \cdot y^{-3}\), we can rewrite it using only positive exponents. The negative exponents indicate that we can move the variables to the denominator: \[ x^{-2} \cdot y^{-3} = \frac{1}{x^2 \cdot y^3} \]

Final Answer

The results are:

  • \(42^3 = 74088\)
  • The expression rewritten with only positive exponents is \(\frac{1}{x^2 \cdot y^3}\).

Thus, the final answers are: \[ \boxed{74088} \] \[ \boxed{\frac{1}{x^2 \cdot y^3}} \]

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