apply the property of Negative Integer exponents to rewrite 15^-38 as an expression with postitive exponents only
15^-38 = ___
To rewrite 15^-38 with positive exponents only, we can use the property of negative exponents which states that for any non-zero number a, a^-n = 1/a^n.
Therefore, 15^-38 can be rewritten as 1/15^38.
apply the property of Negative Integer exponents to rewrite 9^-23 as an expression with postitive exponents only
9^-23 = ____
To rewrite 9^-23 with positive exponents only, we can use the property of negative exponents which states that for any non-zero number a, a^-n = 1/a^n.
Therefore, 9^-23 can be rewritten as 1/9^23.
apply the property of Negative Integer Exponents to solve 3^-4. the answer should not contain ant exponent expression or decimals.
3^-4 = ____
To solve 3^-4 using the property of negative integer exponents, we can apply the rule that for any non-zero number a, a^-n = 1/a^n.
Therefore, 3^-4 can be rewritten as 1/3^4.
Simplifying further, 3^4 is equal to 81, so our final answer is 1/81.
apply the property of negative exponents to generate an expression equivalent to 7^-3 . 7^-5 with positive exponents only.
7^-3 . 7^-5 = __
Using the property of negative exponents, we can rewrite 7^-3 as 1/7^3 and 7^-5 as 1/7^5.
Therefore, 7^-3 . 7^-5 can be rewritten as (1/7^3) . (1/7^5).
To multiply these two fractions, we combine the numerators and denominators:
(1/7^3) . (1/7^5) = (1 . 1) / (7^3 . 7^5).
To simplify further, we can add the exponents of 7 in the denominator:
(1 . 1) / (7^(3+5)) = 1/7^8.
Therefore, the expression equivalent to 7^-3 . 7^-5 with positive exponents only is 1/7^8.
apply the property of negative exponents to generate an expression equivalent to 5^-9/4^-12 with positive exponents only.
5^-9/4^-12 = ____
To rewrite 5^-9/4^-12 with positive exponents only, we can apply the property of negative exponents, which states that for any non-zero number a, a^-n = 1/a^n.
First, we rewrite 5^-9 as 1/5^9 and 4^-12 as 1/4^12.
Therefore, 5^-9/4^-12 can be rewritten as (1/5^9)/(1/4^12).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(1/5^9)/(1/4^12) = (1/5^9) * (4^12/1).
Simplifying further, we have:
= (4^12) / (5^9).
Therefore, the expression equivalent to 5^-9/4^-12 with positive exponents only is (4^12)/(5^9).
To rewrite 15^-38 as an expression with positive exponents only, we can apply the property of negative integer exponents which states that a number raised to a negative exponent is equivalent to the reciprocal of that number raised to the positive exponent.
So, for 15^-38, we can rewrite it as 1 / 15^38.
Therefore, 15^-38 can be expressed with positive exponents only as 1 / 15^38.