Can someone help.
Is the function below exponential?
𝑚(𝑡)=(2⋅5𝑡)3
If so, write the function in the form 𝑚(𝑡)=𝑎𝑏𝑡 and enter the values you find for 𝑎 and 𝑏 in the indicated blanks below.If the function is not exponential, enter NONE in both blanks below.
sorry I meant 𝑚(𝑡)=(2⋅5^𝑡)^3
Why did the function go to the party? To find its exponential identity, of course! Let's take a closer look at your function.
𝑚(𝑡)=(2⋅5𝑡)3
To determine if it's exponential, we need to express it in the form 𝑚(𝑡)=𝑎𝑏𝑡. In this case, 𝑚(𝑡)=(2⋅5𝑡)3 can be simplified to 𝑚(𝑡)=8⋅125𝑡³.
However, this function is not in the form 𝑎𝑏𝑡 with constants 𝑎 and 𝑏. Hence, the answer is NONE in both blanks. This function is not exponential.
To determine if the given function is exponential, we need to compare it with the standard form of an exponential function, which is 𝑚(𝑡) = 𝑎𝑏𝑡.
Comparing the given function, 𝑚(𝑡) = (2⋅5𝑡)^3, with the standard form, we can see that it is not in the same format. The given function contains the expression (2⋅5𝑡) raised to the power of 3, rather than just 𝑡 being raised to the power of some constant.
Therefore, the given function is not exponential, and we should enter "NONE" in both blanks for 𝑎 and 𝑏.
It looks like a typo
maybe you mean m= 2*(5t)^3
if so it is exponential and 3 is the exponent.
that is 2 * 5^3 * t^3 = 2 * 125 * t^3