Apply the property of negative integer exponents to find the numerical equivalent of 8 ^ -3 the answer should not contain any exponent expressions or decimals

To apply the property of negative integer exponents, we can rewrite 8^-3 as 1/8^3.

Now, let's find the numerical equivalent of 1/8^3.

First, we calculate 8^3.

8^3 = 8 × 8 × 8 = 512

Therefore, 1/8^3 = 1/512.

Hence, the numerical equivalent of 8^-3 is 1/512.

To apply the property of negative integer exponents, you can use the formula:

a ^ -n = 1 / (a^n)

Using this formula, let's find the numerical equivalent of 8 ^ -3:

8 ^ -3 = 1 / (8^3)

Now, we can calculate 8^3:

8^3 = 8 * 8 * 8 = 512

Finally, substitute the value of 8^3 back into the expression:

8 ^ -3 = 1 / 512

So, the numerical equivalent of 8^(-3) without any exponent expressions or decimals is 1/512.