If 4⁷ is divided by 4⁵, what is the resulting exponent?

When you divide exponential expressions that have the same base, you subtract the exponents. In this case, you have ( 4^7 ) divided by ( 4^5 ).

Using the rule of exponents:

[

\frac{4^7}{4^5} = 4^{7-5}

]

This simplifies to ( 4^2 ), as you subtract the exponent in the denominator (5) from the exponent in the numerator (7). This means the resulting exponent is 2, leading us to conclude that the correct answer is ( 4^2 ).

Thus, the final result, focusing on the exponent, is indeed 2.