apply the propery of negative integer exponents to find the numerical equivalent of 4^-5 the answer should not contain any exponent expression or decimals
The property of negative exponents states that a non-zero number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent.
Therefore, applying this property to 4^-5, we get:
4^-5 = 1 / 4^5
To find the numerical equivalent, we calculate 4 raised to the power of 5:
4^5 = 4 * 4 * 4 * 4 * 4 = 1024
So, 4^-5 is equal to 1 / 1024.
To apply the property of negative integer exponents, you can rewrite the expression 4^-5 as the reciprocal of 4^5.
Reciprocal means to flip the fraction upside down, so the reciprocal of 4^5 is 1/(4^5).
Now, using the property of exponents that states a^(-b) = 1/(a^b), we can rewrite it as 1/(4^5).
To find the numerical equivalent of 4^-5 without any exponent expression or decimals, we need to evaluate 1/(4^5).
By simplifying 4^5, which means multiplying 4 by itself 5 times, we get:
4^5 = 4 * 4 * 4 * 4 * 4 = 1024.
So, the numerical equivalent of 4^-5 without any exponent expression or decimals is:
1/(4^5) = 1/1024.
Therefore, the answer is 1/1024.
To apply the property of negative integer exponents and find the numerical equivalent of 4^-5, you can use the formula:
a^-n = 1 / a^n
In this case, a is 4 and n is 5. Applying the formula, we have:
4^-5 = 1 / 4^5
Now, let's calculate the value of 4^5:
4^5 = 4 * 4 * 4 * 4 * 4 = 1024
Now, substituting the value of 4^5 back into the equation:
1 / 4^5 = 1 / 1024
So, the numerical equivalent of 4^-5 is 1/1024. Remember that we should not have any exponent expression or decimals in the final answer.