Quotient rule of exponents practice

Answer 1

Sure! Here's a practice problem on the quotient rule of exponents:

Simplify the expression: (2^4 / 2^2)^3

Solution:
To simplify this expression using the quotient rule of exponents, we need to apply the rule, which states that for any non-zero integer a and any integers m and n, (a^m / a^n) = a^(m - n).

In our given expression, we have (2^4 / 2^2)^3. Applying the quotient rule of exponents, we subtract the exponents in the numerator and denominator: 4 - 2 = 2.

So, the expression simplifies to (2^2)^3 = 2^6.

Therefore, the simplified expression is 2^6, which is equal to 64.