Which expressions have a value of -1/64 check all that apply.

These expressions have a value of - 1/64:

A. (- 1/4) ³

B. - (1/4) ³

D. - (1/8) ²

F. - (1/2) ⁶

Step-by-step explanation:

1. Let's resolve each one to understand which of these expressions meet the value of - 1/64

A. (- 1/4) ³ = ( - 1/4 * - 1/4 * - 1/4) = ( -1 * -1 *- 1/ 4 * 4 * 4) = - 1/64 (Note that the negative sign is inside the parenthesis and it changes two times but the final outcome is - ). So this expression has a value of - 1/64

B. - (1/4) ³ = - ( 1/4 * 1/4 * 1/4) = - (1 * 1 * 1/ 4 * 4 * 4) = - 1/64 (Note that the negative sign is outside the parenthesis and it remains negative because the result inside the parenthesis is positive). So this expression has a value of - 1/64

C. (-1/8) ² =  ( - 1/8 * - 1/8 ) = ( -1 * -1 / 8 * 8) = 1/64 (Note that the negative sign is inside the parenthesis and it changes because the final outcome is +). So this expression hasn't a value of - 1/64

D. - (1/8) ² = - ( 1/8 * 1/8 ) = - (1 * 1 / 8 * 8) = - 1/64 (Note that the negative sign is outside the parenthesis and it remains negative because the result inside the parenthesis is positive ). So this expression has a value of - 1/64

E. (- 1/2) ⁶ =  (- 1/2 * -1/2 * -1/2 * -1/2 * -1/2 * -1/2) =  (-1 *- 1 *- 1 * -1 * -1 * -1/ 2 * 2 * 2 * 2 * 2 * 2) = 1/64 (Note that the negative sign is inside the parenthesis and it changes because the final outcome is + ). So this expression hasn't a value of  - 1/64

F. - (1/2) ⁶ = - ( 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2) = - (1 * 1 * 1 * 1 * 1 * 1/ 2 * 2 * 2 * 2 * 2 * 2) = - 1/64 (Note that the negative sign is outside the parenthesis and it remains negative because the result inside the parenthesis is positive ). So this expression has a value of - 1/64.

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37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3