Apply the Properties of Integer Exponents to generate equivalent expressions to 3^7⋅3^−9 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.

Question

3^7⋅3^−9=

Answer 1

To generate equivalent expressions with only positive exponents, we can use the property of integer exponents that states:
a^m ⋅ a^n = a^(m+n)

Applying this property to the given expression:
3^7 ⋅ 3^(-9)

We can now add the exponents:
7 + (-9) = -2

The equivalent expression with only positive exponents is therefore:
3^(-2)

To solve this expression, we can rewrite it as a fraction using the property that negative exponents indicate the reciprocal of the positive exponent:
3^(-2) = 1/3^2 = 1/9

Therefore, the simplified fraction with no remaining exponents is 1/9.

Answer 2

Apply the Properties of Integer Exponents to generate equivalent expressions to 222−4
with only positive exponents, then solve the expression. Provide the solution as a whole number.(1 point)
222−4=