a) in term
b)subtraction
c) N/A
d) 4
Explanation
a term is a single mathematical expression , it can be a number, a variable or a combination, the terms are separated by the symbols + or -
for example:
in
[tex]ax^2+bx+c[/tex]there are 3 expression , so
Step 1
check the expression
[tex]\frac{6(5-3)^3}{12}[/tex]it has only a term ( a fractions)
so
a)the number of terms is : 1
Step 2
b)first thing to do to term 1
PEMDAS means the order of operations for mathematical expressions involving more than one operation. It stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.so
we need to P ( break the parenthesis)
to do that,
do the SUBTRACTION
[tex]\begin{gathered} \frac{6(5-3)^3}{12} \\ \frac{6(5-3)^3}{12}=\frac{6(2)^3}{12} \\ \frac{6\cdot2^3}{12} \end{gathered}[/tex]
Step 3
c) as there is not term 2
N/A
Step 4
simplify the expression: folloing the PEMDAS order
[tex]\begin{gathered} \frac{6\cdot2^3}{12}\text{ } \\ \text{Exponents} \\ \frac{6\cdot2^3}{12}\text{ =}\frac{6\cdot8}{12}\text{ } \\ \text{ Mulitiplication} \\ \frac{6\cdot8}{12}\text{ =}\frac{48}{12} \\ \text{Division} \\ \frac{48}{12}=4 \\ 4 \end{gathered}[/tex]so
d) 4
i hope this helps you