Simplify the Expression: (2a)⁵ ÷ (2a)³ Using Laws of Exponents

Insert the corresponding expression:

$\frac{\left(2\times a\right)^5}{\left(2\times a\right)^3}=$

To solve the given expression, we apply the Power of a Quotient Rule for Exponents. This rule tells us that if we have an expression of the form $\frac{b^m}{b^n}$, it simplifies to $b^{m-n}$.

Given the expression $\frac{(2\times a)^5}{(2\times a)^3}$, we can identify it with the rule as follows. Here, the base $(2\times a)$ is the same in both the numerator and the denominator, with exponents 5 and 3 respectively.

According to the rule, we subtract the exponent in the denominator from the exponent in the numerator, which results in $(2\times a)^{5-3}$.

This simplifies to $(2\times a)^2$, but based on the way the answer is expected to be expressed, we stick with $(2\times a)^{5-3}$.

Thus, the solution to the question is: $(2\times a)^{5-3}$