Question

evaluate. write your answer as a whole number or as a simplified fraction.\\(\frac{7^7}{7^5}=\square\\)

Explanation:

Step1: Apply exponent subtraction rule

When dividing exponents with the same base, subtract the denominator exponent from the numerator exponent: $\frac{a^m}{a^n}=a^{m-n}$
$\frac{7^7}{7^5}=7^{7-5}$

Step2: Calculate the exponent difference

Subtract the exponents:
$7^{7-5}=7^2$

Step3: Compute the final value

Calculate the power of 7:
$7^2=7\times7=49$

Answer:

49