Apply the Quotient Rule of Exponents to simplify 9 power of 8 9 power of 6 as an equivalent expression.(1 point)
To apply the Quotient Rule of Exponents, we need to subtract the exponents when dividing the same base. In this case, the base is 9.
So, using the Quotient Rule, we can simplify 9^8 ÷ 9^6 as:
9^8 ÷ 9^6 = 9^(8-6) = 9^2
Therefore, an equivalent expression for 9^8 ÷ 9^6 is 9^2.
To simplify the expression 9^8 / 9^6 using the Quotient Rule of Exponents, we follow these steps:
Step 1: Recall the Quotient Rule of Exponents, which states that when dividing two numbers with the same base, you subtract the exponents.
Step 2: Apply the rule to the given expression:
9^8 / 9^6 = 9^(8-6) = 9^2
Step 3: Simplify the expression:
9^2 = 81
Therefore, the equivalent expression to 9^8 / 9^6 is 81.
The Quotient Rule of Exponents states that when you have powers with the same base and you divide them, you subtract the exponents.
In this case, we have 9 raised to the 8th power divided by 9 raised to the 6th power.
To simplify, we subtract the exponents: 8 - 6 = 2.
Therefore, the equivalent expression is 9 raised to the 2nd power, or 9^2.