Question

please notice that on the first one there is ( squares dont worry about those please just take them out )

Answer 1

By using exponent properties we will see that:

1) The expression is equal to 16.

2) The expression is equal to 4^6, so the correct option is B.

What is the value of the expression?

Here we want to solve the expression:

(2^0*4^(-2)*2^3*4^3)/2

Remember the exponent property:

a^x*a^y = a^{x + y}

let's rewrite the numerator:

2^0*4^(-2)*2^3*4^3

= (2^0*2^3)*(4^(-2)*4^3)

= 2^(0 + 3)*(4^(-2 + 3))

= 2^3*4 = 2^3*2*2 = 2^(3 + 1 + 1) = 2^5

Then we can rewrite the expression as:

2^5/2 = 2^4 = 16

b)

(1/4^-3)^2

The negative exponent means that we need to take the inverse:

(1/4^-3)^2 = (4^3)^2 = (4^3)*(4^3) = 4^(3 + 3) = 4^6

So the correct option is B.

Learn more about exponents:

brainly.com/question/847241

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