Question
Question
Apply the Property of Negative Integer Exponents to solve 3−4. The answer should not contain any exponent expression or decimals.(1 point)
Apply the Property of Negative Integer Exponents to solve 3−4. The answer should not contain any exponent expression or decimals.(1 point)
Answers
Answer
Question
Apply the Property of Negative Integer Exponents to solve 3^−4. The answer should not contain any exponent expression or decimals.(1 point)
Apply the Property of Negative Integer Exponents to solve 3^−4. The answer should not contain any exponent expression or decimals.(1 point)
Answer
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.(1 point)
Answer
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7−3⋅7−5 with positive exponents only.(1 point)
7−3⋅7−5=
7−3⋅7−5=
Answer
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.(1 point)
7^−3⋅7^−5=
7^−3⋅7^−5=
Answered by
GPT 3.5
To apply the property of negative integer exponents, we can rewrite 3^-4 as the reciprocal of 3^4.
3^-4 = 1 / 3^4
Now, we can calculate 3^4.
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, 3^-4 = 1 / 81.
So, the answer is 1/81.
3^-4 = 1 / 3^4
Now, we can calculate 3^4.
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, 3^-4 = 1 / 81.
So, the answer is 1/81.
Answered by
GPT 3.5
To apply the property of negative integer exponents, we can rewrite 3^-4 as the reciprocal of 3^4.
3^-4 = 1 / 3^4
Now, we can calculate 3^4.
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, 3^-4 = 1 / 81.
So, the answer is 1/81.
3^-4 = 1 / 3^4
Now, we can calculate 3^4.
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, 3^-4 = 1 / 81.
So, the answer is 1/81.
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 the reciprocal of 7^3 multiplied by the reciprocal of 7^5.
7^-3⋅7^-5 = 1 / 7^3 * 1 / 7^5
Now, we can simplify each expression:
1 / 7^3 = 1 / (7 * 7 * 7) = 1 / 343
1 / 7^5 = 1 / (7 * 7 * 7 * 7 * 7) = 1 / 16807
Now, we can multiply the two reciprocal expressions:
1 / 343 * 1 / 16807 = 1 / (343 * 16807) = 1 / 5791171
Therefore, an expression equivalent to 7^-3⋅7^-5 with positive exponents only is 1 / 5791171.
7^-3⋅7^-5 = 1 / 7^3 * 1 / 7^5
Now, we can simplify each expression:
1 / 7^3 = 1 / (7 * 7 * 7) = 1 / 343
1 / 7^5 = 1 / (7 * 7 * 7 * 7 * 7) = 1 / 16807
Now, we can multiply the two reciprocal expressions:
1 / 343 * 1 / 16807 = 1 / (343 * 16807) = 1 / 5791171
Therefore, an expression equivalent to 7^-3⋅7^-5 with positive exponents only is 1 / 5791171.
Answered by
GPT 3.5
To generate an expression equivalent to 7^-3 * 7^-5 with positive exponents only, we can apply the property of negative exponents, which states that a negative exponent is equivalent to the reciprocal of the positive exponent.
Starting with 7^-3 * 7^-5, we can rewrite each term as a reciprocal with positive exponents:
7^-3 * 7^-5 = 1/7^3 * 1/7^5
Now, we can simplify each term separately:
1/7^3 = 1/(7*7*7) = 1/343
1/7^5 = 1/(7*7*7*7*7) = 1/16807
Finally, we can multiply the two reciprocal expressions:
1/343 * 1/16807 = 1/(343*16807)
Therefore, an expression equivalent to 7^-3 * 7^-5 with positive exponents only is 1/(343*16807).
Starting with 7^-3 * 7^-5, we can rewrite each term as a reciprocal with positive exponents:
7^-3 * 7^-5 = 1/7^3 * 1/7^5
Now, we can simplify each term separately:
1/7^3 = 1/(7*7*7) = 1/343
1/7^5 = 1/(7*7*7*7*7) = 1/16807
Finally, we can multiply the two reciprocal expressions:
1/343 * 1/16807 = 1/(343*16807)
Therefore, an expression equivalent to 7^-3 * 7^-5 with positive exponents only is 1/(343*16807).
Answered by
GPT 3.5
To generate an expression equivalent to 7^(-3) * 7^(-5) with positive exponents only, we can apply the property of negative exponents, which states that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
Starting with 7^(-3) * 7^(-5), we can rewrite each term as a reciprocal with positive exponents:
7^(-3) * 7^(-5) = 1/(7^3) * 1/(7^5)
Now, we can simplify each term separately:
1/(7^3) = 1/(7 * 7 * 7) = 1/343
1/(7^5) = 1/(7 * 7 * 7 * 7 * 7) = 1/16807
Finally, we can multiply the two reciprocal expressions:
1/343 * 1/16807 = 1/(343 * 16807)
Therefore, an expression equivalent to 7^(-3) * 7^(-5) with positive exponents only is 1/(343 * 16807).
Starting with 7^(-3) * 7^(-5), we can rewrite each term as a reciprocal with positive exponents:
7^(-3) * 7^(-5) = 1/(7^3) * 1/(7^5)
Now, we can simplify each term separately:
1/(7^3) = 1/(7 * 7 * 7) = 1/343
1/(7^5) = 1/(7 * 7 * 7 * 7 * 7) = 1/16807
Finally, we can multiply the two reciprocal expressions:
1/343 * 1/16807 = 1/(343 * 16807)
Therefore, an expression equivalent to 7^(-3) * 7^(-5) with positive exponents only is 1/(343 * 16807).
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