Choose the correct simplification of the expression (5x^5)2

25x^10

Step-by-step explanation: First apply the exponent rule. (5x^5)^2 = 5^2(x^5)^2

5^2 = 25 = 25(x^5)^2. Now take (x^5)^2 and simplify it. Use the exponent rule for (x^5)^2 = x^5 * ^ 2. Multiply 5 * 2 = 10. So, it becomes x^10. So, take the 25 and plug in the 10. 25x^10 is the answer.

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal