Quotient Rule of Exponent
Simplify 13/12. Divide 13/ -10
To simplify the expression 13/12, divide the numerator (13) by the denominator (12):
13/12 = 1.0833 (rounded to 4 decimal places)
Now, to divide 13/ -10, divide the numerator (13) by the denominator (-10):
13/ -10 = -1.3 (rounded to 1 decimal place)
To simplify the expression 13/12 ÷ 13/-10, you can use the quotient rule of exponents, which states that a/b ÷ c/d = (a/b) * (d/c).
So, applying the quotient rule of exponents to the expression 13/12 ÷ 13/-10, we have:
(13/12) * (-10/13)
Now let's simplify further:
= (13 * -10) / (12 * 13)
= -130 / 156
Finally, you can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 26 in this case:
= (-130 ÷ 26) / (156 ÷ 26)
= -5 / 6
Therefore, the simplified expression is -5/6.