Which of the following expressions is/are equivalent to 1/15 x 125^t x 5^t?
There may be more than one correct answer. Select all that apply.
a) 1/3 125^t
b) 1/15 x (5^4)^t
c) 1/15 x 5^3t x 5^t
d) 1/15 (5^t)^4
e) 1/15 x 5^(3t+1)
f) 1/15 x (5^3)^t x 5^t
g) 1/15(625^t)
G, b, c
Let us know which choices you think apply, and we will be happy to evaluate them for you. However, to start you out, G is one of them.
this does not help aint no G as my question
give me the right answer know and i mean it
To find the equivalent expressions for 1/15 x 125^t x 5^t, we can simplify each option and check if it matches the given expression. Let's go through each option:
a) 1/3 125^t: This expression is not equivalent because it does not have the factor of 5^t.
b) 1/15 x (5^4)^t: This expression simplifies to 1/15 x 5^(4t), so it is not equivalent because it does not have the factor of 125^t.
c) 1/15 x 5^3t x 5^t: This expression simplifies to 1/15 x 5^(4t), which matches the given expression. So, this option is correct.
d) 1/15 (5^t)^4: This expression simplifies to 1/15 x 5^(4t), so it is not equivalent because it does not have the factor of 125^t.
e) 1/15 x 5^(3t+1): This expression is not equivalent because it does not have the factor of 125^t.
f) 1/15 x (5^3)^t x 5^t: This expression simplifies to 1/15 x 125^t x 5^t, which matches the given expression. So, this option is correct.
g) 1/15(625^t): This expression simplifies to 1/15 x 5^(4t), so it is not equivalent because it does not have the factor of 125^t.
Therefore, the options that are equivalent to 1/15 x 125^t x 5^t are:
c) 1/15 x 5^3t x 5^t
f) 1/15 x (5^3)^t x 5^t