Apply the Property of Negative Integer Exponents to rewrite 15^−38 as an expression with positive exponents only.(1 point)
To apply the property of negative integer exponents, we can rewrite 15^−38 as 1/(15^38).
Apply the Property of Negative Integer Exponents to solve 3^−4. The answer should not contain any exponent expression or decimals.(1 point)
To apply the property of negative integer exponents, we can rewrite 3^−4 as 1/(3^4).
thats wrong
Apologies for the mistake. To apply the property of negative integer exponents, we can rewrite 3^−4 as 1/(3^4) = 1/81.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.(1 point)
To apply the property of negative integer exponents, we can rewrite the expression 7^−3⋅7^−5 as (1/7^3)⋅(1/7^5).
Using the property of multiplying fractions, we can simplify this expression by multiplying the numerators together and the denominators together:
(1/7^3)⋅(1/7^5) = 1/(7^3 ⋅ 7^5) = 1/7^(3+5) = 1/7^8
Therefore, the expression equivalent to 7^−3⋅7^−5 with positive exponents only is 1/7^8.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9 /4^−12 with positive exponents only.(1 point)
To apply the property of negative integer exponents, we can rewrite the expression 5^−9 /4^−12 as (1/5^9) / (1/4^12).
Using the property of dividing fractions, we can simplify this expression by multiplying the first fraction by the reciprocal of the second fraction:
(1/5^9) / (1/4^12) = (1/5^9) * (4^12/1)
Now, using the property of multiplying powers with the same base, we can combine the exponents:
(1/5^9) * (4^12/1) = 4^12 / 5^9
Therefore, the expression equivalent to 5^−9 /4^−12 with positive exponents only is 4^12 / 5^9.
Negative Integer Exponents Quick Check
1 of 51 of 5 Items
Question
Which of the following is developed to be equivalent to 185?(1 point)
Responses
8 1/5
8 Start Fraction 1 over 5 End Fraction
8^−5
8 superscript negative 5 baseline
5^−8
5 superscript negative 8 baseline
8^5