Apply the Property of Negative Integer Exponents to solve 7^-3. The answer should not contain any exponents expression or decimals
The Property of Negative Integer Exponents states that for any non-zero number 𝑎, 𝑎⁻𝑛 is equal to 1 divided by 𝑎ⁿ.
Applying this property to solve 7⁻³, we can rewrite it as 1 divided by 7³.
1 / 7³ = 1 / (7 * 7 * 7) = 1 / 343
Therefore, the simplified answer without any exponent expression or decimals is 1/343.
The Property of Negative Integer Exponents states that any non-zero number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent.
Using this property, we can solve 7^-3 as:
7^-3 = 1 / 7^3
Now, let's evaluate 7^3:
7^3 = 7 x 7 x 7 = 343
So, 7^-3 = 1 / 343
Therefore, the solution is 1/343.
To apply the property of negative integer exponents, we can rewrite 7^-3 using the formula:
a^-n = 1 / a^n
In this case, we have 7^-3, so we can rewrite it as:
1 / 7^3
Now we just need to calculate 7^3. To do this, we multiply 7 by itself three times:
7^3 = 7 * 7 * 7 = 343
So, substituting this back into our original expression, we have:
1 / 343
Therefore, the value of 7^-3, without any exponents or decimals, is 1 / 343.