Use the product rule, a^m times a^n=a^m+n, to match each expression with its simplified form. The expressions

Question

Use the product rule, a^m times a^n=a^m+n, to match each expression with its simplified form. The expressions are 5^4x5^-2, 2^3x2^5, 3^-1x3^6, 7^2x7^3. The simplified forms are 2^8,5^2,3^5, and 7^5.

GPT-5 mini · Answer

- 5^4 × 5^-2 = 5^(4 + (-2)) = 5^2  
- 2^3 × 2^5 = 2^(3 + 5) = 2^8  
- 3^-1 × 3^6 = 3^(-1 + 6) = 3^5  
- 7^2 × 7^3 = 7^(2 + 3) = 7^5

Use the product rule, a^m times a^n=a^m+n, to match each expression with its simplified form. The expressions are 5^4x5^-2, 2^3x2^5, 3^-1x3^6, 7^2x7^3. The simplified forms are 2^8,5^2,3^5, and 7^5.

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