The Property of Negative Integer Exponents states that a negative exponent can be rewritten as the reciprocal of the corresponding positive exponent.
Applying this property to the expression 7^-3 ⋅ 7^-5, we get:
7^-3 ⋅ 7^-5 = 1/7^3 ⋅ 1/7^5
To simplify further, we can combine the fractions:
1/7^3 ⋅ 1/7^5 = 1/(7^3 ⋅ 7^5)
Using the property of multiplying exponents with the same base, we can add the exponents:
7^3 ⋅ 7^5 = 7^(3+5) = 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 7−3⋅7−5 with positive exponents only.
9 answers
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5−9/4−12 with positive exponents only
To apply the Property of Negative Integer Exponents, we need to rewrite the negative exponents as the reciprocal of the corresponding positive exponents.
Using this property, let's rewrite the given expression:
5^(-9/4) ⋅ 4^(-12)
Since the exponent is -9/4, we can rewrite it as the reciprocal of the positive exponent:
1/5^(9/4) ⋅ 1/4^12
To simplify the expression further, we can take the fourth root of both the numerator and denominator to get rid of the fractional exponent:
1/∛(5^9) ⋅ 1/4^12
Finally, we can rewrite the cube root of 5^9 as (5^9)^(1/3), which is equal to 5^(9/3) = 5^3:
1/5^3 ⋅ 1/4^12
The expression equivalent to 5^(-9/4) ⋅ 4^(-12) with positive exponents only is therefore 1/5^3 ⋅ 1/4^12.
Using this property, let's rewrite the given expression:
5^(-9/4) ⋅ 4^(-12)
Since the exponent is -9/4, we can rewrite it as the reciprocal of the positive exponent:
1/5^(9/4) ⋅ 1/4^12
To simplify the expression further, we can take the fourth root of both the numerator and denominator to get rid of the fractional exponent:
1/∛(5^9) ⋅ 1/4^12
Finally, we can rewrite the cube root of 5^9 as (5^9)^(1/3), which is equal to 5^(9/3) = 5^3:
1/5^3 ⋅ 1/4^12
The expression equivalent to 5^(-9/4) ⋅ 4^(-12) with positive exponents only is therefore 1/5^3 ⋅ 1/4^12.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5−9/4−12 with positive exponents only
5−9/4−12=
5−9/4−12=
To apply the Property of Negative Integer Exponents, we need to rewrite the negative exponents as the reciprocal of the corresponding positive exponents.
Using this property, let's rewrite the given expression:
5^(-9/4) ⋅ 4^(-12)
Since the exponent is -9/4, we can rewrite it as the reciprocal of the positive exponent:
1/5^(9/4) ⋅ 1/4^12
Now, let's simplify the expression further. Taking the fourth root of both the numerator and denominator allows us to get rid of the fractional exponent:
1/∜(5^9) ⋅ 1/4^12
Finally, we can rewrite the fourth root of 5^9 as (5^9)^(1/4), which is equal to 5^(9/4):
1/5^(9/4) ⋅ 1/4^12
The expression equivalent to 5^(-9/4) ⋅ 4^(-12) with positive exponents only is therefore 1/5^(9/4) ⋅ 1/4^12.
Using this property, let's rewrite the given expression:
5^(-9/4) ⋅ 4^(-12)
Since the exponent is -9/4, we can rewrite it as the reciprocal of the positive exponent:
1/5^(9/4) ⋅ 1/4^12
Now, let's simplify the expression further. Taking the fourth root of both the numerator and denominator allows us to get rid of the fractional exponent:
1/∜(5^9) ⋅ 1/4^12
Finally, we can rewrite the fourth root of 5^9 as (5^9)^(1/4), which is equal to 5^(9/4):
1/5^(9/4) ⋅ 1/4^12
The expression equivalent to 5^(-9/4) ⋅ 4^(-12) with positive exponents only is therefore 1/5^(9/4) ⋅ 1/4^12.
Which of the following is developed to be equivalent to 1/8 5?(1 point)
5− 8
8 5
8 1/5
8− 5
5− 8
8 5
8 1/5
8− 5
The expression developed to be equivalent to 1/8 * 5 is:
8^-5
8^-5
Which of the following is equivalent to 6−2?
1/2 6
1/36
36
1/6 −2
1/2 6
1/36
36
1/6 −2
The expression equivalent to 6^-2 is 1/36.