Question

Drag the tiles to the correct boxes to complete the pairs.

Using the properties of integer exponents, match each expression with the correct equivalent expression.

2
4

⋅

(
2
2
)
-
2

(
-
2
-
4
)
-
2

⋅

(
2
2
)
0

(
-
2
2
)
-
6

÷

(
2
-
5
)
-
4

(
2
2
)
2

⋅

(
2
3
)
-3

1
arrowRight

2
8
arrowRight

2
-
5
arrowRight

2
-
32
arrowRight

Answer 1

To match the expression with the correct equivalent expression, let's simplify each expression:

Expression 1: 2^4

Expression 2: (2^2) * (2^-2)

Now, let's simplify each expression:

Expression 1: 2^4 = 2 * 2 * 2 * 2 = 16

Expression 2: (2^2) * (2^-2) = (2 * 2) * (1 / (2 * 2)) = 4 * (1 / 4) = 1

Matching the expressions with their equivalent values:

Expression 1: 2^4 --> 16

Expression 2: (2^2) * (2^-2) --> 1

Therefore, the correct matches are:

2^4 --> 16

(2^2) * (2^-2) --> 1