hello i need help with simplifying expressions

Question

i am having a problem solving this problem for homework

 

5^2_.(10-8)+2³ +5²=

please show the steps so i can use this for futher problems 

Answer 1

This is a simplification problem which requires understanding the order of operations. Usually people learn the  acronym PEMDAS (please excuse my dear aunt sally). Parentheses, exponents, multiplication/division, addition/subtraction. Multiplication and division are actually the same thing (think of multiplying by a fraction instead of dividing) and the same is true for addition and subtraction (think of adding a negative number instead of subtracting). Therefore, it doesn't matter if you multiply before dividing or vice versa, as long as it's done before any addition or subtraction. So, for the problem let's simplify with each step:

5²(10-8)+2³ +52

Parentheses first gives:

5²(2)+2³+52

Exponents next:

25(2)+8+52

Mult/division:

50+8+52

Add/subt:

110