simplify ^300
responses 10 ^3,this radical expression is already fully simplified.
5 ^12
100 ^3
The simplified expressions are:
- (^300) = (^100) * (^3)
- (responses 10 ^3) = (10000)
- (^5) = (^5)
- (^12) = (^12)
- (^100) * (^3) = (^1000000)
To simplify ^300, we need to look at the exponent and the base separately.
1. For the exponent, 300, we first need to check if it is divisible by the power of the base. In this case, the base is not specified, so we can assume it to be 10. Since 300 is divisible by 3, we can rewrite it as:
^300 = (10 ^3) ^100
2. For the base, 10, since it doesn't contain any variables or radicals, we can leave it as it is.
Putting it together, we get:
^300 = (10 ^3) ^100
So, the simplified expression is (10 ^3) ^100.
The simplified forms for the other expressions are as follows:
1. 10 ^3 = 1,000 (this is already fully simplified)
2. 5 ^12 = 244,140,625
3. 100 ^3 = 1,000,000
Let me know if there is anything else I can help you with!
To simplify these expressions, we need to raise the base to the power indicated.
1. To simplify \(10^3\), we raise 10 to the power of 3:
\(10^3 = 10 \times 10 \times 10 = 1,000\)
2. The expression \(\sqrt[12]{5}\) is already in radical form, and we cannot simplify it further. So, \(5^{12}\) is already simplified.
3. To simplify \(100^3\), we raise 100 to the power of 3:
\(100^3 = 100 \times 100 \times 100 = 1,000,000\)
Therefore, \(10^3 = 1,000\), \(5^{12}\) is already simplified, and \(100^3 = 1,000,000\)