Question

what whole number is equivalent to the value of the expression \\(\frac{3^6 cdot 3^4}{(3^2)^4}\\)? use the number pad to enter your answer in the box. the value of the expression is equivalent to the whole number

Explanation:

Step1: Simplify numerator (add exponents)

When multiplying exponents with the same base, add the exponents: $3^6 \cdot 3^4 = 3^{6+4} = 3^{10}$

Step2: Simplify denominator (multiply exponents)

When raising a power to a power, multiply the exponents: $(3^2)^4 = 3^{2 \times 4} = 3^8$

Step3: Divide (subtract exponents)

When dividing exponents with the same base, subtract the exponents: $\frac{3^{10}}{3^8} = 3^{10-8} = 3^2$

Step4: Calculate final value

$3^2 = 3 \times 3 = 9$

Answer:

9