Explain the difference between the expressions 6x^0 and (6x)^0.

Question

Question

algebra Algebraic-Expressions

Answer 1

Answer #1

Consider the expressions, .

The objective is to find the difference between the expresssions.

In order to find the difference first solve the expressions individually.

Assume the expression .

Hence, the value of is equals to 6.

Assume the expression .

Thus, the value of the expression is equals to 1.

That is,

The values of both the expressions are different.

For the first expression , the exponent is only for the variable where as for the second expression ,the exponent is for the whole base term .

The expressions and are different and gives different values.

Hence, this is the required explanation.

Answer 2

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