6^7/6^10
When dividing with the same base, you can subtract the exponents. Therefore, 6^7/6^10 would be equal to 6^(7-10) which simplifies to 6^-3.
To solve this expression, we can use the following property of exponents: when dividing two exponents with the same base, we subtract the exponents.
So, for the expression 6^7/6^10, we subtract the exponent of 6 in the denominator from the exponent of 6 in the numerator.
6^7/6^10 = 6^(7-10) = 6^-3.
To simplify further, we can rewrite 6^-3 as 1/6^3.
Therefore, 6^7/6^10 = 1/6^3.
To simplify the expression 6^7/6^10, we can use the property of division with exponents.
According to this property, when dividing two numbers with the same base but different exponents, you subtract the exponents.
In this case, the base is 6 and the exponents are 7 and 10.
So, 6^7/6^10 can be simplified as 6^(7-10) = 6^(-3).
To further simplify, we can rewrite 6^(-3) as 1/6^3.
Therefore, the simplified form of 6^7/6^10 is 1/6^3 or 1/216.