Apply the Property of Negative Integer Exponents to rewrite 15^−38 as an expression with positive exponents only.(1 point)
To apply the property of negative integer exponents, we need to remember that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n.
Therefore, rewriting 15^−38 as an expression with positive exponents only:
15^−38 = 1 / 15^38
what is the answer
The answer is:
15^−38 = 1 / 15^38
The property of negative integer exponents states that any number raised to a negative exponent can be rewritten as the reciprocal of the same number raised to the positive exponent.
So, applying this property, we can rewrite 15^−38 as:
1 / (15^38)
To apply the Property of Negative Integer Exponents, we need to remember the following rule:
For any non-zero number a, a^(-n) is equal to 1 divided by a^n.
Using this rule, we can rewrite 15^(-38) as:
15^(-38) = 1 / (15^38)
Therefore, the expression with positive exponents only is 1 / (15^38).