Questions: 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.
Solution
Solution Steps
Solution Approach
Calculate \(42^3\).
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:
\[
\boxed{74088}
\]
\[
\boxed{\frac{1}{x^2 \cdot y^3}}
\]