Insert the corresponding expression:
(2×15)13(15×2)17=
The given expression is (2×15)13(15×2)17. To simplify
using the rule of exponents known as the Power of a Quotient Rule, which states
When you divide like bases you subtract the exponents:
anam=am−n.
First, notice that both the numerator and denominator have the base 15×2. Therefore, we can simplify by subtracting the exponents in the numerator and the denominator:
- Numerator's exponent: 17
- Denominator's exponent: 13
We apply the quotient rule:
(15×2)17−13.
As a result, the simplified expression is
(15×2)4.
Therefore, the correct answer which represents the expression using the Power of a Quotient Rule is
(15×2)17−13
because it encapsulates the subtraction of exponents without computing the final exponent
4.
This allows you to keep the expression in its most simplistic exponential form.
(15×2)17−13