Question
use a product rule of exponents to simplify the expression 6^4 x 6^-2
Answers
GPT 3.5
To simplify the expression 6^4 x 6^-2 using the product rule of exponents, we add the exponents when the bases are the same.
The product rule of exponents states that when multiplying two exponential expressions with the same base, the exponents are added.
So, using the product rule of exponents, we have:
6^4 x 6^-2 = 6^(4 + (-2))
Simplifying the exponent inside the parentheses, we get:
6^4 x 6^-2 = 6^2
Therefore, the simplified expression is 6^2.
The product rule of exponents states that when multiplying two exponential expressions with the same base, the exponents are added.
So, using the product rule of exponents, we have:
6^4 x 6^-2 = 6^(4 + (-2))
Simplifying the exponent inside the parentheses, we get:
6^4 x 6^-2 = 6^2
Therefore, the simplified expression is 6^2.