Evaluate the expression when x = 32 and y = 2.

Question

x4y

Responses

116
1 over 16

1621
16 over 21

2
2

4

Answer 1

To evaluate the expression \( x^4y \) when \( x = 32 \) and \( y = 2 \), we follow these steps:

1. Substitute the values into the expression: \[ x^4y = 32^4 \cdot 2 \]

2. Calculate \( 32^4 \): \[ 32^4 = (32^2)^2 = 1024^2 \] Now, calculating \( 1024^2 \): \[ 1024 \times 1024 = 1048576 \] So, \( 32^4 = 1048576 \).

3. Now multiply by \( y \): \[ 32^4 \cdot 2 = 1048576 \cdot 2 = 2097152 \]

Thus, the value of the expression \( x^4y \) when \( x = 32 \) and \( y = 2 \) is \( 2097152 \).

Since none of the options provided matches \( 2097152 \), there may have been an oversight in the formulation of the options or a misunderstanding in reading the expression. Please double-check the options or clarify if there's a specific simplification required.