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Q: Can algebraic expressions have exponents

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no algebraic expressions do not have equal signs but equations do.

Algebraic expressions are terms that do not include an equality sign

Algebraic expressions are the written relations of or between variables. For example, x2, 1/x, and x + y + z are all algebraic expressions. Algebraic equations are simply algebraic expressions that equate to something. For example, x2 = 4, 1/x = y, and x + y + z = 42 are all algebraic equations. In general, one differentiates algebraic expressions from exponential, trigonometric, hyperbolic, and logarithmic expressions by requiring algebraic expressions to be confined to polynomial expressions. I've added a link regarding polynomials below.

Yes. That is the definition of an algebraic expression.

the word algebraic is arabic.

Only like terms can be subtracted or added in algebraic expressions.

An expression with a variable.

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.

In algebraic equations, exponents can contain variables. They can be solved for by using logarithmic rules for exponents.

Algebraic expressions are terms that do not include an equality sign

Algebraic expressions are terms that do not include an equality sign

Algebraic expressions allow you to organize the information so you can make a easier decision

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