Which is an equivalent form of the expression 1800(1.2)–t?
Is 1800(1/2)^t correct?
hey yall
3 x 5 = 15 x 120 = 1800= equivalent
Your welcome :)
To determine if 1800(1/2)^t is an equivalent form of the expression 1800(1.2)–t, we need to simplify the given expression and compare it to 1800(1/2)^t.
Let's simplify the original expression, 1800(1.2)–t:
Step 1: Evaluate 1.2 by multiplying it by 1800:
1800 * 1.2 = 2160
Step 2: Rewrite the expression using the simplified value:
2160 – t
Now let's compare this simplified expression, 2160 – t, to 1800(1/2)^t:
1800(1/2)^t is equivalent to 1800 multiplied by (1/2) raised to the power of t.
Since the simplified expression, 2160 – t, does not have any fractional exponents like (1/2)^t, we can conclude that 1800(1/2)^t is not an equivalent form of 1800(1.2)–t.
Therefore, 1800(1/2)^t is not correct as an equivalent form of the expression 1800(1.2)–t.
1.2^-t = 1 / 1.2^t
That is clearly not the same as 1 / 2^t
recall that x^-a = 1/x^a