Question

Which expression is equivalent to (7x^3)^2(x^8)^(1/2)?

A) 14x^10
B) 49x^10
C) 14x^7
D) 49x^7

Answer 1

To simplify the expression (7x3)2(x8)1/2, apply the exponents to each term inside the parentheses to get 49x10.

Step-by-step explanation:

The expression (7x3)2(x8)1/2 can be simplified by applying the rules of exponents. To simplify, we need to apply the exponent outside of the parentheses to every term inside the parentheses. When we raise (7x3) to the power of 2, we get 49x6, and when we raise (x8) to the power of 1/2, we get x4. Multiplying these two terms together gives us 49x6 * x4 = 49x10.