Apply the Property of Negative Integer Exponents to solve 7^−3
To apply the property of negative integer exponents, we can rewrite the expression as 1/7^3.
1/7^3 = 1/343
So, 7^−3 = 1/343.
To apply the property of negative integer exponents, we can rewrite 7^−3 as 1/7^3.
So, 7^−3 = 1/7^3.
Now, we can find the value of 1/7^3 by cubing the denominator.
7^3 = 7 × 7 × 7 = 343.
Therefore, 1/7^3 = 1/343.
So, 7^−3 is equal to 1/343.
To apply the property of negative integer exponents, we use the rule that states:
If a base is raised to a negative exponent, we can rewrite it as the reciprocal of the base raised to the positive exponent.
So, to solve 7^(-3), we can rewrite it as 1 / 7^(3).
Now, let's calculate 7^(3) first.
7^(3) means multiplying 7 by itself three times: 7 * 7 * 7 = 343.
Now, we can substitute the value we obtained for 7^(3) back into the original expression.
So, 7^(-3) can be rewritten as 1 / 343.
Therefore, 7^(-3) equals 1/343.