write the quotient 3 to the tenth power divided by 3 to the third power
(3^10)/(3^3) = 3^(10-3) = 3^7
which happens to be 2187
what is 21 to the third power divided by 3
To find the quotient of 3 to the tenth power divided by 3 to the third power, you can use the property of exponents, which states that when you divide two numbers with the same base, you subtract their exponents.
In this case, the base is 3, and the exponent for the dividend (3 to the tenth power) is 10, while the exponent for the divisor (3 to the third power) is 3.
So, the quotient can be found by subtracting the exponent of the divisor from the exponent of the dividend:
10 - 3 = 7
Therefore, the quotient of 3 to the tenth power divided by 3 to the third power is 3 to the seventh power.
In numerical form, this can be calculated as:
(3^10) / (3^3) = 59049 / 27 = 2187