Question

What is the value of 3^5 times 3^3 divided by 3^4

Answer 1

Answer: 3^4

Step-by-step explanation:

(3^5 • 3^3)/3^4
= (3^5+3)/3^4 (a^m • a^n = a^m+n)
= 3^8/3^4
= 3^4 (a^m/a^n = a^m-n)

Therefore, the answer is 3^4

Answer 2

3^4

Step-by-step explanation:

One of the laws of exponents is that when you are multiplying exponents with the same base, then you add their powers. So,

3^5 x 3^3 = 3^8

Another law is when dividing exponents with the same base, you can subtract the powers. So,

3^8/3^4 = 3^4

Hope this helps!