To simplify the expression4 2^-3 + 8 2^-2 + 5 * 2^-1
First, calculate the exponents2^-3 = 1/2^3 = 1/2^-2 = 1/2^2 = 1/2^-1 = 1/2
Now substitute the exponents back into the expression4 (1/8) + 8 (1/4) + 5 * (1/2)
Simplify each term4/8 + 8/4 + 5/2
Now simplify the fractions1/2 + 2 + 5/2
Combine the terms1/2 + 5/2 + 2 = 6/2 + 5/2 + 4/2 = 15/2
Thus, the simplified expression is 15/2 or 7.5.
To simplify the expression
4 2^-3 + 8 2^-2 + 5 * 2^-1
First, calculate the exponents
2^-3 = 1/2^3 = 1/
2^-2 = 1/2^2 = 1/
2^-1 = 1/2
Now substitute the exponents back into the expression
4 (1/8) + 8 (1/4) + 5 * (1/2)
Simplify each term
4/8 + 8/4 + 5/2
Now simplify the fractions
1/2 + 2 + 5/2
Combine the terms
1/2 + 5/2 + 2 = 6/2 + 5/2 + 4/2 = 15/2
Thus, the simplified expression is 15/2 or 7.5.