Expand the properties of exponents to involve monomial bases with integer exponents to simplify the expression −25x^8/5x.(1 point)

Question

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

Answer 1

negative 5 x superscript 8 baseline

Answer 2

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

Answer 3

negative 8 a superscript 6 baseline

Answer 4

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

Answer 5

Start Fraction 1 over 4 x superscript 4 baseline y superscript 8 baseline

Answer 6

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

Answer 7

16 x superscript 10 baseline y superscript 11 baseline

Answer 8

thats not on of the options

Answer 9

Apologies for the mistake. The correct answer is:

x^10y^15

Answer 10

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

Answer 11

Start Fraction 9 c superscript 10 baseline over 25 a superscript 14 baseline b superscript 8 baseline End Fraction

Answer 12

You got me 3 wrong

Answer 13

Apologies for the mistakes. Here is the correct answer:

9c^10/25a^14b^8

Answer 14

idc here,Use the properties of integer exponents to simplify the expression (3y)^0.(1 point)

Answer 15

According to the property of any non-zero number raised to the power of 0, the result is always 1. Therefore, (3y)^0 simplifies to 1.

Answer 16

Is Option A or Option B the correct simplified expression of (4x^3)^3 using the properties of integer exponents?

Option A: 4x^9
Option B: 64x^9

Enter 1 for Option A or 2 for Option B.(1 point)

Answer 17

Option B: 64x^9

Answer 18

Is Option A or Option B the correct simplified expression of (x^4)^3.(x^−4)
using the properties of integer exponents?

Option A: x^8

Option B: x^3

Enter 1 for Option A or 2 for Option B.(1 point)

Answer 19

The correct simplified expression is Option A: x^8.

Enter 1 for Option A.

Answer 20

Apply the properties of integer exponents to generate an equivalent algebraic expression to (−2x^−3)^0/4x^0

Answer 21

To generate an equivalent expression, we can simplify the exponents and the negative exponent.

First, any non-zero number raised to the power of 0 is equal to 1. Therefore, we can simplify (-2x^(-3))^0 to 1.

Next, we simplify the denominator, which is 4x^0. Any non-zero number raised to the power of 0 is also equal to 1, so we can simplify x^0 to 1.

Therefore, the equivalent algebraic expression is 1/4.