Question

Use the multiplication property of exponents to determine if each statement is true or false. a 4 × a 3 × a = a 7 52 × 34 = 156 x 6 × x 0 × x 2 × x 3 = x 11 7m 2 × 2m × 4m 5 = 56m 8

Answer 1

Answer:Answer:

Statement 1 and 2 are False.

Statement 3 and 4 are True.

Step-by-step explanation: hopes this helps

Answer 2

Statement 1 and 2 are False.

Statement 3 and 4 are True.

Explanation:

Given Statements are:

1.
`a^4* a^3* a = a^7`

2. 52 × 34 = 136

3.
`x^6* x^0* x^2* x^3 = x^(11)`

4.
`7m^2*2m*4m^5 = 56m^8`

To Find: statements are true or false

LHS means left hand side and RHS means Right hand side

Law used,
`x^a* xa^b=x^(a+b)`

1).

`a^4* a^3* a = a^7`

LHS =
`a^4* a^3* a`

=
`a^(4+3+1)`

=
`a^8`

RHS =
`a^7`

LHS ≠ RHS

Therefore, Statement is false

2).

52 × 34 = 136

LHS = 52 × 34

= 1768

RHS = 136

LHS ≠ RHS

Therefore, Statement is False.

3).

`x^6* x^0* x^2* x^3 = x^(11)`

LHS =
`x^6* x^0* x^2* x^3`

=
`x^(6+0+2+3)`

=
`x^(11)`

RHS =
`x^(11)`

LHS = RHS

Therefore, Statement is true.

4).

`7m^2*2m*4m^5 = 56m^8`

LHS =
`7m^2*2m*4m^5`

=
`7*2*4* m^(2+1+5)`

=
`56 m^8`

RHS =
`56m^8`

LHS = RHS

Therefore, Statement is true.