Answer: 9⁵ × 3⁷ can be expressed as 3^17.
Explanation:
To express 9⁵ × 3⁷ as a power of 3, we need to simplify the expression. First, we can rewrite 9 as 3²:
(3²)⁵ × 3⁷
Using the power of a power rule, we can simplify this expression:
3^(2×5) × 3⁷
Multiplying the exponents:
3^10 × 3⁷
Using the product of powers rule, we can combine the two terms with the same base:
3^(10+7)
Adding the exponents:
3^17