Simplify to a single power of 3:
(3^8)/(3^2)
3^__
3^6
To simplify the expression (3^8)/(3^2) to a single power of 3, we can subtract the exponents.
When you divide numbers with the same base, you subtract the exponents. So, in this case, subtract 2 from 8.
3^8 divided by 3^2 equals 3^(8-2).
Simplifying the exponent gives us:
3^6.
Therefore, the simplified expression is 3^6.
To simplify the expression (3^8)/(3^2) to a single power of 3, you can use the division rule of exponents, which states that when you divide two numbers with the same base, you subtract the exponents.
In this case, the base is 3.
When you divide (3^8) by (3^2), you subtract the exponent of the denominator (2) from the exponent of the numerator (8).
So, 3^8/3^2 = 3^(8-2).
Simplifying the exponent gives us: 3^6.
Therefore, the simplified expression is 3^6.