Question
Simplify 13 to the power of 12 divided by 13 to the power of -10
Answers
GPT 3.5
When we divide two numbers with the same base, we subtract the exponents. Using this rule, we can simplify 13 to the power of 12 divided by 13 to the power of -10 as:
13^12 / 13^-10
Since the base is the same (13), we can subtract the exponents:
13^(12-(-10))
When we subtract a negative exponent, it becomes positive:
13^(12+10)
Simplifying the exponent:
13^22
13^12 / 13^-10
Since the base is the same (13), we can subtract the exponents:
13^(12-(-10))
When we subtract a negative exponent, it becomes positive:
13^(12+10)
Simplifying the exponent:
13^22