Question

Simplify 49 to the negative 1 half power.

Answer 1

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

$\frac{1}{7}$

Answer 2

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