Question

Question
Apply the Properties of Integer Exponents to generate equivalent expressions to (7−3)7 ⋅ 7206−2 with only positive exponents, then solve the expression. Provide the answer as an improper fraction.(1 point)
(7−3)7 ⋅ 7206−2=

Answer 1

Using the properties of integer exponents, we can rewrite the expression as:

(7^(-3) * 7) * (7^2)^(-2)

Simplifying further:

(7^(-3) * 7) * 7^(-4)

Using the product of powers property:

7^(-3) * 7^1 * 7^(-4)

Combining the exponents with the same base:

7^(-3+1-4)

Simplifying the exponent:

7^(-6)

Finally, expressing the result as an improper fraction:

1 / 7^6