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=

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Question

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=

GPT 3.5 · Answer

To apply the properties of integer exponents, we can combine the two exponential terms using the rule that states when multiplying exponential terms with the same base, we add the exponents.

So, 3^7 * 3^-9 can be simplified as 3^(7 + (-9)).
3^(7 + (-9)) = 3^(-2)

Now, to convert this expression to positive exponents, we can use another property of exponents which states that any non-zero number raised to the power of -n is equal to 1 divided by that number raised to the power of n.

Therefore, 3^(-2) can be written as 1/3^2.

Simplifying further,
1/3^2 = 1/9

Thus, the simplified fraction with no remaining exponents for the expression 3^7 * 3^-9 is 1/9.

hm · Answer

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=

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