Question

(2^(-2)•8)⁴•(4^(-1))²

Answer 1

2^4*4^-2
2^4*2^-4=1
……

Answer 2

Let's break down the expression step by step:

First, let's simplify the expression inside the first set of parentheses:

(2^(-2) • 8)⁴

To simplify this, we'll evaluate the exponent first. 2^(-2) is equivalent to 1 / 2², which is 1/4.

(1/4 • 8)⁴

Now, simplify the multiplication: 1/4 • 8 = 2.

(2)⁴

Next, we raise 2 to the power of 4: 2⁴ = 16.

Now, let's move on to the second part of the expression:

(4^(-1))²

Again, we'll evaluate the exponent first. 4^(-1) is equivalent to 1 / 4¹, which is 1/4.

(1/4)²

Squaring 1/4 gives us 1/4 • 1/4 = 1/16.

Finally, let's multiply the results of the two parts of the expression:

16 • 1/16 = 1.

Therefore, the value of the expression (2^(-2) • 8)⁴ • (4^(-1))² is 1.