Question

Which is an equivalent form of the expression 1800(1.2)–t?

a) 1800(1.2)ᵗ
b) 1800/(1.2)ᵗ
c) 1800(1.2)⁻t
d) 1800/(1.2)⁻t

Answer 1

The equivalent form of the given expression is 1800(1.2)^t.

Step-by-step explanation:

The equivalent form of the expression 1800(1.2)–t is option a) 1800(1.2)t

To understand why this is the correct answer, let's break down the given expression.

1800(1.2)–t can be written as 1800 * (1.2)-t.

When we have a negative exponent in an expression, it can be rewritten as the reciprocal of the positive exponent. So, (1.2)-t is equivalent to 1 / (1.2)t.

Therefore, the equivalent form of 1800(1.2)–t is 1800 * (1.2)t.