To generate an expression equivalent to 7^−3 ⋅ 7^−5 with positive exponents only, we can apply the Property of Negative Integer Exponents, which states that a^−n = 1/a^n.
Therefore, 7^−3 ⋅ 7^−5 can be rewritten as 1/7^3 ⋅ 1/7^5.
To simplify this expression, we can use the product of powers property, which states that (a^n)(a^m) = a^(n+m).
So, 1/7^3 ⋅ 1/7^5 can be simplified to 1/7^(3+5).
Therefore, the expression equivalent to 7^−3 ⋅ 7^−5 with positive exponents only is 1/7^8.
Negative Integer Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3 ⋅ 7^−5 with positive exponents only.(1 point)
1 answer