Asked by Dakota
7 to the power of - 2
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7 to the power of - 4
could you show me how you get 49 as the naswer...the long line shows that you need to divide both of them
_______________________
7 to the power of - 4
could you show me how you get 49 as the naswer...the long line shows that you need to divide both of them
Answers
Answered by
MathMate
If you see a negative exponent in the numerator, it is the reciprocal of the number without the negative sign in the exponent. Namely:
A<sup>-b</sup> = 1/A<sup>b</sup>
or
1/A<sup>-b</sup> = A<sup>b</sup>
Therefore
7<sup>-2</sup> / 7<sup>-4</sup>
=7<sup>4</sup> / 7<sup>2</sup>
=?
A<sup>-b</sup> = 1/A<sup>b</sup>
or
1/A<sup>-b</sup> = A<sup>b</sup>
Therefore
7<sup>-2</sup> / 7<sup>-4</sup>
=7<sup>4</sup> / 7<sup>2</sup>
=?
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