solve 7^-3 by applying the property of negative integer exponents
To solve 7^-3 using the property of negative integer exponents, we can rewrite it as the reciprocal of 7^3.
7^-3 = 1/7^3
Now, we can evaluate 7^3 to find the reciprocal:
7^3 = 7 * 7 * 7 = 343
Therefore,
7^-3 = 1/343
To solve 7^-3 using the property of negative integer exponents, we can rewrite it as the reciprocal of the positive exponent value.
Step 1: Write the reciprocal of 7^-3. The reciprocal of a number is 1 divided by the number, so the reciprocal of 7^-3 is 1 / 7^3.
Step 2: Calculate the value of 7^3. 7^3 is equal to 7 × 7 × 7, which is 343.
Step 3: Substitute the value of 7^3 into the equation. 1 / 7^3 becomes 1 / 343.
Therefore, 7^-3 is equal to 1 / 343.
To solve 7^-3 using the property of negative integer exponents, we can use the formula:
a^-n = 1 / (a^n)
In this case, a is 7 and n is 3:
7^-3 = 1 / (7^3)
Now, let's calculate the value of 7^3 first:
7^3 = 7 * 7 * 7 = 343
Now, substitute the value of 7^3 into the formula:
7^-3 = 1 / 343
Therefore, 7^-3 is equal to 1/343.