Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

solve for x:    x to the negative 3rd power is equal to 27 over 64

Sagot :

AL2006
Remember what a negative exponent means ... it's just a positive exponent
in the denominator of a fraction. 'x' to negative 3rd power is the same as 1/x³ .

1/x³ = 27/64

Take the reciprocal of each side:

x³ = 64/27

x= ∛64/27 = ∛64 / ∛27.

64 is the perfect cube of 4.
27 is the perfect cube of 3.

x = 4/3 .