Question

Solve -8x < 64.


x < 8

x < -8

x > 8

x > -8

Answer 1

64^(1/2) is the square root of 64 (i.e. 8)
64^(3/2) is the square root of 64 cubed
8^3 = 8*8*8 = 512

ANOTHER WAY to do this is to break 64 down into a product of prime factors:
64 = 8*8
..... = 2*2*2*2*2*2
Hence
64^(3/2)
= ((2^6)^(3/2))
Now the rule here is that to raise a power to a power, we multiply exponents.
6 * (3/2) = 9
Hence
64^(3/2) = 2^9 = 512

Answer 2

remove the exponents n the roots!

Answer 3

sorry for that

Answer 4

....... lol

Answer 5

sorry !

Answer 6

x < -8