9514 1404 393
Answer:
4^7
Step-by-step explanation:
You know that an exponent signifies repeated multiplication. The value of the exponent is the number of times the base appears as a factor.
You also know that identical factors in the numerator and denominator of a fraction cancel.
The given fraction has 9 factors of 4 in the numerator, and 2 factors of 4 in the denominator. The two in the denominator cancel an equal number in the numerator, leaving a value that has 7 factors of 4:
[tex]\dfrac{4^9}{4^2}=4^{9-2}=\boxed{4^7}[/tex]
