If you have like terms then to multiply you add the exponents and to divide you subtract.
So, x2 * x3 = x5 and y7 / y5 = y2
Also, for example, 2x2 * x3 = 2x5 (we can do this as the terms are like; x's only)
But if you do not have like terms then this does not apply.
For example, x2 * y3 does not equal xy5.
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you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..
Parenthesis Exponents Multiply Divide Addition Subration Or, PEMDAS
Integers
there are different rules to follow on how to multiply and divide algebraic expressions. but its basics concerns on what kind of terms you are using and the deep concern about its exponents. when you multiply or divide, it is very basic to utilize the distributive method, exponents are being added when we multiply, while subtracted when we divide.
The order of operations is: P (parentheses) E (Exponents) M (Multiply) D (Divide) A (Add) S (Subtract)