which of the following is development to be equivalent to 1/8^5? (1 point)
A.8-^5
B.8 1/5
C.8^5
D.5-^8
9 answers
The correct option equivalent to 1/8^5 is C. 8^5.
Which of the following is equivalent 6-^2? (1 point)
A.36
B.1/36
C.1/6-^2
D.1/26
A.36
B.1/36
C.1/6-^2
D.1/26
The correct option equivalent to 6-^2 is B. 1/36.
Which of the following is an equivalent expression to 13-^5 13-^11 with only only positive exponents generated by applying the properties of exponets? (1 point)
A.1/13^16
B.1/13^6
C.1/26^6
D.1/26^16
A.1/13^16
B.1/13^6
C.1/26^6
D.1/26^16
To simplify the expression 13-^5 13-^11 using positive exponents, we can use the property of exponents that states a^-n is equal to 1/a^n.
Therefore, 13-^5 13-^11 can be rewritten as 1/13^5 1/13^11.
To add the terms together, we can find a common denominator by multiplying the denominators: 1/13^5 1/13^11 = (1/13^5)(13^6/13^6) (1/13^11)(13^6/13^6) = 13^6/13^11 13^6/13^11.
This simplifies to 2(13^6)/(13^11) = 2/13^5.
Therefore, the equivalent expression with only positive exponents is B. 1/13^6.
Therefore, 13-^5 13-^11 can be rewritten as 1/13^5 1/13^11.
To add the terms together, we can find a common denominator by multiplying the denominators: 1/13^5 1/13^11 = (1/13^5)(13^6/13^6) (1/13^11)(13^6/13^6) = 13^6/13^11 13^6/13^11.
This simplifies to 2(13^6)/(13^11) = 2/13^5.
Therefore, the equivalent expression with only positive exponents is B. 1/13^6.
Which of the following is an equivalent expression to 14-^7/9-^13 with only positive exponents generated by applying the property of negative integer exponents? (1 point)
A.14-^7 , 9^13
B.9^13/14^7
C.14^7/9^13
D.1/9^13 .14-^7
A.14-^7 , 9^13
B.9^13/14^7
C.14^7/9^13
D.1/9^13 .14-^7
To simplify the expression 14-^7/9-^13 using positive exponents, we can use the property of negative integer exponents that states a^-n is equal to 1/a^n.
Therefore, 14-^7/9-^13 can be rewritten as 1/14^7 1/9^13.
To combine the terms, we can find a common denominator by multiplying the denominators: 1/14^7 1/9^13 = (1/14^7)(9^13/9^13) (1/9^13)(14^7/14^7) = 9^13/9^13 14^7/14^7.
This simplifies to 2(9^13)/(14^7) = 2/14^7 9^13.
Therefore, the equivalent expression with only positive exponents is D. 1/9^13 .14^7.
Therefore, 14-^7/9-^13 can be rewritten as 1/14^7 1/9^13.
To combine the terms, we can find a common denominator by multiplying the denominators: 1/14^7 1/9^13 = (1/14^7)(9^13/9^13) (1/9^13)(14^7/14^7) = 9^13/9^13 14^7/14^7.
This simplifies to 2(9^13)/(14^7) = 2/14^7 9^13.
Therefore, the equivalent expression with only positive exponents is D. 1/9^13 .14^7.
Which of the following is an equivalent expression to 7^3/25-^4 with only positive exponents generated by applying the property of negative integer exponents? (1 point)
A.25^4/7-^3
B.25^4/7^3
C.7^3 , 25^4
D.7^3/25^4
A.25^4/7-^3
B.25^4/7^3
C.7^3 , 25^4
D.7^3/25^4
To simplify the expression 7^3/25-^4 using positive exponents, we can use the property of negative integer exponents that states a^-n is equal to 1/a^n.
Therefore, 7^3/25-^4 can be rewritten as 7^3/1 1/25^4.
Simplifying, we have 7^3/1 1/25^4 = 7^3 1/25^4.
Therefore, the equivalent expression with only positive exponents is C. 7^3 , 25^4.
Therefore, 7^3/25-^4 can be rewritten as 7^3/1 1/25^4.
Simplifying, we have 7^3/1 1/25^4 = 7^3 1/25^4.
Therefore, the equivalent expression with only positive exponents is C. 7^3 , 25^4.
43 answers