SOLUTION: My son is studying math expressions with exponents. The question is which expression is equivalent to 45^-3/45^3/ The options are 45^-1, 45^0, 1/45^6, or 45^6. I came up with the a

Question 900154: My son is studying math expressions with exponents. The question is which expression is equivalent to 45^-3/45^3/ The options are 45^-1, 45^0, 1/45^6, or 45^6. I came up with the answer of 45^0 because the negative and positive exponent would subtract itself to equal 0. Is this correct and how would I write out the problem solving to explain the answer.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39628) (Show Source): You can put this solution on YOUR website!
45^-3/45^3/
Cannot be understood, or at least not well understood.

I am attempting to judge what you mean.
(45^-3)/(45^3)
which is rendered as on this page.

Meaning into some steps

Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

My son is studying math expressions with exponents. The question is which expression is equivalent to 45^-3/45^3/ The options are 45^-1, 45^0, 1/45^6, or 45^6. I came up with the answer of 45^0 because the negative and positive exponent would subtract itself to equal 0. Is this correct and how would I write out the problem solving to explain the answer.

No, that's INCORRECT!!
Since the fractional expression has the same base in the numerator and the denominator,
then according to the law of exponents, the base is kept, and the exponent in the denominator is
SUBTRACTED from the exponent in the numerator. Thus, becomes: ____________
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