is this how you simplify exponents and integers:

10+4^3x2^-2
10+ 1/64 + 1/4
1/64 + 1/4= 1/256
10 + 1/256= 10 1/256
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ever since I learn this in class, I'm getting more confuse because I keep receiving fraction as an answer.can you tutor me on this lesson?

2 answers

What you are doing is to the negative power. 4^3 is 64, not 1/64. however,2^-2 is 1/4 because it is a negative power.

10 + 4^3 x 2^-2
10 + 64 x 1/4
10 + 16
26

Just remember, a positive exponent is integer x integer as many times as the number indicated by the exponent. A negative exponent is the exact same thing, except the number you get will be the denominator and your numerator will be 1.
ooooooooooh!!!!!! thank you! but what will happen if the numberator cannot be divided by the denominator?