Expand the properties of exponents to involve monomial bases with integer exponents to simplify the expression −25x^8/5x.(1 point)
Responses
5x^7
5 x superscript 7 baseline
−5x^9
negative 5 x superscript 9 baseline
−5x^7
negative 5 x superscript 7 baseline
−5x^8
negative 5 x superscript 8 baseline
Use the properties of integer exponents to simplify the expression (−4a^4)(−2a^2).(1 point)
Responses
8a^2
8 a superscript 2 baseline
8a^6
8 a superscript 6 baseline
8a^8
8 a superscript 8 baseline
−8a^6
negative 8 a superscript 6 baseline
Apply the properties of integer exponents to generate an equivalent algebraic expression to 3x^3y^−4/12x^7y^4.(1 point)
Responses
1/4x^12
Start Fraction 1 over 4 x superscript 12 baseline
1/4x^4y^8
Start Fraction 1 over 4 x superscript 4 baseline y superscript 8 baseline
3/12x^4y^8
Start Fraction 3 over 12 x superscript 4 baseline y superscript 8 baseline
4x^4y^8
Start Fraction 1 over 4 x superscript 4 baseline y superscript 8 baseline
Apply the properties of integer exponents to simplify the algebraic expression (2xy^3)4⋅(x^2y)^3.(1 point)
Responses
x^10y^15
x superscript 10 baseline y superscript 15 baseline
16x^10y^15
16 x superscript 10 baseline y superscript 15 baseline
32x^10y^11
32 x superscript 10 baseline y superscript 11 baseline
16x^25
16 x superscript 10 baseline y superscript 11 baseline
thats not on of the options
Apologies for the mistake. The correct answer is:
x^10y^15
Apply the properties of integer exponents to simplify the algebraic expression (−5a^3b^4c^−2/3a^−4b^0c^3)^−2.(1 point)
Responses
−5c^10/3a^14b^8
Start Fraction negative 5 c superscript 10 baseline over 3 a superscript 14 baseline b superscript 8 baseline End Fraction
9/25a^12
Start Fraction 9 over 25 a superscript 12 baseline End Fraction
c^10/a^14b^8
Start Fraction c superscript 10 baseline over a superscript 14 baseline b superscript 8 baseline End Fraction
9c^10/25a^14b^8