Quotient Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Simplify 13^12÷13^−10 (1 point)
To simplify the expression 13^12 ÷ 13^(-10), we can use the quotient rule of exponents. According to the rule, when dividing two numbers with the same base, you subtract the exponents.
In this case, the base is 13, so we subtract the exponents:
13^12 ÷ 13^(-10) = 13^(12 - (-10))
Simplifying the exponent inside the parentheses, we get:
13^(12 + 10)
Adding the exponents results in:
13^22
Therefore, the simplified expression is 13^22.
To simplify 13^12 ÷ 13^-10 using the quotient rule of exponents, follow these steps:
Step 1: Apply the rule that states "a^m ÷ a^n = a^(m-n)". This means we need to subtract the exponents.
Step 2: Substitute the values into the formula. In this case, a = 13 and m = 12, n = -10.
So, 13^12 ÷ 13^-10 = 13^(12-(-10)).
Step 3: Simplify the expression inside the parentheses: 12-(-10) becomes 12+10, which equals 22.
So, 13^12 ÷ 13^-10 = 13^22.
The expression 13^12 ÷ 13^-10 simplifies to 13^22.