apply the property of negative integer exponents to solve 7 to the power of -3. the answer should not contain any exponent expression or decimals
To apply the property of negative integer exponents, we can rewrite 7^-3 as 1/7^3.
Then, we can simplify 1/7^3 as 1/343.
The final answer is 1/343.
To solve the expression 7 raised to the power of -3 using the property of negative integer exponents, we need to rewrite it as a fraction:
1 / 7 raised to the power of 3
Now, let's simplify this expression. We know that any number raised to the power of 0 is equal to 1, so we'll consider the reciprocal of 7 raised to the power of 3:
1 / (7 * 7 * 7)
Simplifying further, we have:
1 / 343
Therefore, 7 raised to the power of -3 is equal to the fraction 1/343.
To solve 7 to the power of -3 using the property of negative integer exponents, we can rewrite it as the reciprocal of 7 to the power of 3.
Step 1: Write 7 to the power of -3 as 1 divided by 7 to the power of 3.
7^-3 = 1 / 7^3
Step 2: Evaluate 7 to the power of 3.
7^3 = 7 × 7 × 7 = 343
Step 3: Take the reciprocal of the result from step 2.
1 / 343
Hence, the solution is 1/343.