which expression is not equal to 6^3/6^6?
A 1/6^2
B 6^-3
C 1/216
D 1/6^3
When we divide powers of the same base, we keep the base and subtract the exponents
6^3 ÷ 6^6 = 6^-3 or 1/6^3
THANK YOU REINY !!
To determine which expression is not equal to 6^3/6^6, we can simplify the expression by using the exponent rule which states that when dividing two terms with the same base, you subtract the exponents.
Given expression: 6^3/6^6
Applying the exponent rule, we have:
6^(3-6) = 6^-3
Now we can compare this simplified expression with the provided options:
A) 1/6^2 = 1/36
B) 6^-3 = 1/6^3
C) 1/216 - This matches the simplified expression 6^-3.
D) 1/6^3 = 1/216 - This matches the simplified expression 6^-3 as well.
By comparing the simplified expression 6^-3 with the given options, we see that all options match. Therefore, the answer is: None of the provided expressions are different from 6^3/6^6.