Hello!
To answer this expression, we need to refer to PEMDAS. PEMDAS means, parentheses, exponents, multiplication, division, addition and subtraction. Hence, we need to simplify the exponent first, and then we subtract the alike terms.
[tex] \frac{1}{4}^{2} = \frac{1^{2}}{4^{2}} = \frac{1}{16} [/tex]
5/8 - 1/16
Since the denominators of both fractions are not alike, we need to multiply them with the least common denominator. In this case, the least common denominator is 2, so we multiply the denominator that is smaller than the denominator with the higher number (8 < 16).
(2)(5/8) - (1/16)
10/16 - 1/16
9/16
Therefore, the answer is 9/16.
