Final answer:
To simplify the expression 9⁸/9³ × 9⁵, you can first simplify the numerator and denominator using the rules of exponents. Then finally, simplify the remaining expression to get the answer 3¹⁰.
Step-by-step explanation:
To simplify the expression 9⁸/9³ × 9⁵, we can use the rules of exponents. First, let's simplify the numerator and denominator separately.
9⁸ is equal to (3²)⁸, which can be simplified as 3¹⁶.
9³ is equal to (3²)³, which simplifies to 3⁶.
9⁵ is equal to (3²)⁵, which simplifies to 3¹⁰.
Now, we can substitute these simplified values back into the expression and perform the division: 3¹⁶ / 3⁶ × 3¹⁰. Simplifying further, we subtract the exponents when dividing: 3^(16-6) × 3¹⁰ = 3¹⁰.
So, the simplified expression is 3¹⁰.
Learn more about Simplifying Exponents