Verified Answer :

Louli

The negative power means 1/the number to the given power

This means that 7^-2 can be rewritten as 1/(7^2)
7^2 = 77
Therefore:
1/(7^2) = 1/(7
7)
77 = 49
Therefore:
1/(7
7) = 1/49

Based on the above calculations:
7^-2 is equal to 1/49

For this case we have:

By definition, one of the properties of the power, known as negative integer power, states that:

\(a ^{-b}\)can be written as\(\frac{1}{a ^ b}\)

Thus,  \(7 ^{-2}\) can be written as \(\frac{1}{7 ^ 2}\) . So:

\(\frac{1}{7 ^ 2}= \frac{1}{(7 * 7)}=\frac{1}{49}\)

Answer:

Power of negative integer exponent:

\(7^{-2} =\frac{1}{7 ^ 2}= \frac{1}{(7 * 7)}=\frac{1}{49}\)