Simplify the expression (4x^3y^-5)^4

64x^12 / y^20

Step-by-step explanation:

(4x^3y^-5)^4

Distribute the exponential value of 4 to all terms in the parentheses.

4^4 * x^(3*4) * y^(-5*4)

Multiply each exponent.

64x^12 * y^-20

Make the negative exponent positive by making it a fraction.

64x^12 / y^20

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)