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podryga [215]
3 years ago
14

Simplify 49 to the negative 1 half power.

Mathematics
2 answers:
borishaifa [10]3 years ago
8 0

Answer:

\frac{1}{7}

Step-by-step explanation:

49^{-\frac{1}{2}}

Use exponential property to make the exponent positive

a^m = \frac{1}{a^m}

We take the reciprocal of the base to make the exponent positive

49^{-\frac{1}{2}}= \frac{1}{49^{\frac{1}{2}}}

49 can be written as 7*7 = 7^2

\frac{1}{(7^2)^{\frac{1}{2}}}

Now we cancel out 2

\frac{1}{7}

grandymaker [24]3 years ago
7 0
If it is a negative power, you do the reciprocal. so it would be 1/49^1/2

1/2 power means find the square root.

the final answer would be 1/7
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