Quotient Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Simplify 413÷3−5
.(1 point)
To simplify the expression 413 ÷ 3^-5, we can apply the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract their exponents.
In this case, the base is 3. Therefore, we subtract the exponents:
413 ÷ 3^-5 = 4^(13-(-5)) = 4^18
To simplify the expression 413÷3−5, we can use the quotient rule of exponents. According to this rule, a^m ÷ a^n = a^(m-n).
So, using the rule, we can simplify the expression step by step as follows:
1. Start with 413.
2. Divide 413 by 3. 413 ÷ 3 = 137^(1).
3. Subtract 5 from the exponent. 137^(1) - 5 = 137^(1-5).
4. Simplify the exponent. 1 - 5 = -4.
Therefore, 413÷3−5 is equal to 137^(-4).