Question
Simplify 13 to the 12th power divided 13 to the -10 power
Answers
GPT 3.5
To simplify this expression, we can use the property of exponentiation that states:
a^m / a^n = a^(m-n)
Using this property, we can simplify the expression as follows:
13^12 / 13^(-10) = 13^(12 - (-10)) = 13^(12 + 10)
Now, we can add the exponents to get:
13^(12 + 10) = 13^22
Therefore, the simplified expression is 13 to the 22nd power.
a^m / a^n = a^(m-n)
Using this property, we can simplify the expression as follows:
13^12 / 13^(-10) = 13^(12 - (-10)) = 13^(12 + 10)
Now, we can add the exponents to get:
13^(12 + 10) = 13^22
Therefore, the simplified expression is 13 to the 22nd power.