Law | Description | Why |
anything to the power 1 is itself | ||
to multiply indices with the same base, add their powers | ||
to divide indices with the same base, subtract their powers | ||
to raise indices to a new power, multiply their powers | ||
anything to the power 0 is 1 | ||
a negative power is “1 over” the positive power | ||
a power of an nth is an nth root | ||
a fractional power of m over n means either – do the the nth root first, then raise it to the power m or – raise it to the power m, then take the nth root (depending on what’s easier) |
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a power outside a fraction applies to both the numerator and the denominator | ||
flipping the fraction inside changes a negative power into a positive power |
Use
on the numerator.
Use
Use
.
The value of k is 3.
Flip the fraction to change the negative outside power into a positive outside power,
.
Use that a power outside a fraction applies to both the numerator and denominator,
.
Use that a fractional power of m over n is the nth root all to the power m,
.
and