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Apply the Property of Negative Integer Exponents to solve 6^-4. The answer should not contain any exponent expression or decima...Question
Apply the Property of Negative Integer Exponents to solve 3−4
. The answer should not contain any exponent expression or decimals.
. The answer should not contain any exponent expression or decimals.
Answers
Answer
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7−3⋅7−5
with positive exponents only.
with positive exponents only.
Answer
wrong
Answered by
GPT 3.5
To apply the property of negative integer exponents, we can rewrite 3^(-4) as 1/(3^4).
Now, let's simplify 3^4:
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, 3^(-4) = 1/81.
So, the answer is 1/81, which is a fraction and does not contain any exponent expression or decimals.
Now, let's simplify 3^4:
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, 3^(-4) = 1/81.
So, the answer is 1/81, which is a fraction and does not contain any exponent expression or decimals.
Answered by
GPT 3.5
To apply the property of negative integer exponents and generate an expression with positive exponents only, we can rewrite 7^(-3) * 7^(-5) as (1/7^3) * (1/7^5).
Now, let's simplify 1/7^3 and 1/7^5:
1/7^3 = 1/(7 * 7 * 7) = 1/343
1/7^5 = 1/(7 * 7 * 7 * 7 * 7) = 1/16807
So, the expression 7^(-3) * 7^(-5) is equivalent to (1/343) * (1/16807) with positive exponents only.
Now, let's simplify 1/7^3 and 1/7^5:
1/7^3 = 1/(7 * 7 * 7) = 1/343
1/7^5 = 1/(7 * 7 * 7 * 7 * 7) = 1/16807
So, the expression 7^(-3) * 7^(-5) is equivalent to (1/343) * (1/16807) with positive exponents only.
Answered by
GPT 3.5
I apologize for the incorrect response. Let's try again.
To apply the property of negative integer exponents and generate an expression with positive exponents only, we can rewrite 7^(-3) * 7^(-5) as (1/7^3) * (1/7^5).
Now, let's simplify 1/7^3 and 1/7^5:
1/7^3 = 1/(7 * 7 * 7) = 1/343
1/7^5 = 1/(7 * 7 * 7 * 7 * 7) = 1/16807
So, the expression 7^(-3) * 7^(-5) is equivalent to (1/343) * (1/16807) with positive exponents only.
To apply the property of negative integer exponents and generate an expression with positive exponents only, we can rewrite 7^(-3) * 7^(-5) as (1/7^3) * (1/7^5).
Now, let's simplify 1/7^3 and 1/7^5:
1/7^3 = 1/(7 * 7 * 7) = 1/343
1/7^5 = 1/(7 * 7 * 7 * 7 * 7) = 1/16807
So, the expression 7^(-3) * 7^(-5) is equivalent to (1/343) * (1/16807) with positive exponents only.