Apply the Property of Negative Integer Exponents to solve 7 ^ - 3 The answer should not contain any exponent expression or decimals. (1 point)
7^ - 3 =
1/7^3 = 1/343
To solve 7^(-3) using the property of negative integer exponents, we can rewrite it as the reciprocal of 7^3.
Recall that the property states that a^(-n) = 1/(a^n), where "a" represents the base and "n" represents the exponent.
Therefore, 7^(-3) can be expressed as 1/(7^3).
Simplifying further, 7^3 is equal to 7 × 7 × 7, which is 343.
Hence, 7^(-3) = 1/343.
To solve 7^ -3 using the property of negative integer exponents, we can rewrite the expression as the reciprocal of the positive exponent.
The property of negative integer exponents states that for any nonzero number a, a^ -n is equal to 1 / a^n.
Applying this property to 7^ -3, we can rewrite it as 1 / 7^3.
Now, we can calculate 7^3 first, which is equal to 7 * 7 * 7 = 343.
Therefore, 7^ -3 is equal to 1 / 343.
Thus, the answer is 1/343.