Decimal form is 3.96811878
Answer:
6
Step-by-step explanation:
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.
<h3>What is the value of the expression?</h3>
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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