Apply the Properties of Integer Exponents to generate an equivalent expression to (5−3)6⋅ 51710−2 (1 point) Responses 20 20 1500 1 over 500 120 1 over 20 500
To generate an equivalent expression to (5−3)6⋅ 51710−2 using the properties of integer exponents, we can simplify each part separately and then multiply the results.
First, (5−3)6 = (2)6.
Applying the property of integer exponents that states a^m * a^n = a^(m+n), we get (2)6 = 2*6 = 12.
Next, 51710−2 = 51(710−2).
Now, applying the property of integer exponents that states a^(-n) = 1/a^n, we get 710−2 = 1/(710^2).
Finally, multiplying the two results, we have 12 * (1/710^2).
Simplifying further, we get 12/710^2.
Therefore, an equivalent expression to (5−3)6⋅ 51710−2 is 12/710^2.