Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify your reasoning.
A) We are using the property c √ (a^b) = a^(b/c)....so...
4 √ x^3 = x^(3/4)
B) We are using the property that 1 / a^-n = a^n .....so.....
1 / x^(-1) = x^1
C) We are using the property that a^m * a^n = a^(m+n)
10 √ (x^5 * x^4 * x^2 ) =
10 √ (x^11) =
x^(11/10)
D) x^(1/3) * x^(1/3) * x^(1/3) =
x^(1/3 + 1/3 + 1/3) =
x^1