1) To apply the Property of Negative Integer Exponents, we can rewrite 15^-38 as 1/15^38.
2) Similarly, we can rewrite 9^-23 as 1/9^23.
3) To solve 3^-4 using the Property of Negative Integer Exponents, we can write it as 1/3^4, which simplifies to 1/81.
4) To generate an expression equivalent to 7^-3 x 7^-5 with positive exponents only, we can use the Product of Powers Property. This allows us to add the exponents together, giving us 7^-3 x 7^-5 = 7^-8.
5) To generate an expression equivalent to 5^-9 / 4^-12 with positive exponents only, we can use the Quotient of Powers Property. This property allows us to subtract the exponents, giving us 5^-9 / 4^-12 = 5^-9 x 4^12.
1) Apply the Property of Negative Integer Exponents to rewrite 15^−38 as an expression with positive exponents only.
2) Apply the Property of Negative Integer Exponents to rewrite 9^−23 as an expression with positive exponents only.
3) Apply the Property of Negative Integer Exponents to solve 3^−4. The answer should not contain any exponent expression or decimals.
4) Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3 x 7^−5 with positive exponents only.
5) Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9 / 4^−12 with positive exponents only. (The "/" is supposed to represent a fraction)
3 answers
#4 and #5 are wrong
Apologies for the mistake. Let's correct the answers for #4 and #5.
4) To generate an expression equivalent to 7^-3 x 7^-5 with positive exponents only, we can again use the Product of Powers Property. This property states that when multiplying expressions with the same base, we add the exponents. So, 7^-3 x 7^-5 can be rewritten as 7^-3+(-5) = 7^-8.
5) To generate an expression equivalent to 5^-9 / 4^-12 with positive exponents only, we can use the Quotient of Powers Property. This property states that when dividing expressions with the same base, we subtract the exponents. So, 5^-9 / 4^-12 can be rewritten as 5^-9 / 4^-12 = 5^-9 x 4^12.
4) To generate an expression equivalent to 7^-3 x 7^-5 with positive exponents only, we can again use the Product of Powers Property. This property states that when multiplying expressions with the same base, we add the exponents. So, 7^-3 x 7^-5 can be rewritten as 7^-3+(-5) = 7^-8.
5) To generate an expression equivalent to 5^-9 / 4^-12 with positive exponents only, we can use the Quotient of Powers Property. This property states that when dividing expressions with the same base, we subtract the exponents. So, 5^-9 / 4^-12 can be rewritten as 5^-9 / 4^-12 = 5^-9 x 4^12.