Simplify using Exponent Rules: 7^4 x 7 x 7^13 x 7^-20
A- 28^-2
B- 1/7^2
C- 1/7^3
D- 1/7^-2
To simplify the expression, we can use the exponent rules which state that when multiplying with the same base, we can add the exponents, and when dividing with the same base, we can subtract the exponents.
First, let's simplify the expression step-by-step:
7^4 x 7 x 7^13 x 7^-20
= 7^(4+1+13-20)
= 7^(-2)
This is equivalent to 1/7^2.
Therefore, the simplified form of the expression is:
B- 1/7^2