Apply the Properties of Integer Exponents to generate equivalent expressions to 22/2−4 with only positive exponents, then solve the expression. Provide the solution as a whole number.(1 point)
22/2−4= two to the second power divided by two to the negative 4th power
To apply the properties of integer exponents and rewrite the expression 22/2−4 with only positive exponents, we can use the property that when dividing powers with the same base, we subtract the exponents.
First, let's rewrite 2 in exponent form: 2^1.
Then, we can use the division property:
22/2^-4 = (2^2)/(2^-4)
To divide the powers with the same base, we subtract the exponents:
(2^2)/(2^-4) = 2^(2-(-4))
Simplifying the exponent, we have:
2^(2+4) = 2^6
Therefore, the equivalent expression with only positive exponents is 2^6.
Now, to solve the expression, we can evaluate 2^6:
2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64
So, the solution as a whole number is 64.