= 64^(t^3)*64^(-t/2)
= 64^(t^3)*(64^(-1/2))^t . . . . change the sum of exponents to a product
= 64^(t^3)*(1/√64)^t . . . . . . negative exponent signifies inverse, 1/2 power is sqrt
= 64^(t^3)/8^t . . . . . . . . . . . simplify
= (4^3)^(t^3)/8^t . . . . . . . . . .replace 64 with 4^3
= 4^(3t^3)/8^t . . . . matches the first selection only
Answer:
105 sweets
Step-by-step explanation:
There are 4 + 1 + 2 = 7 parts in total
Stephen gets 4 parts (or 4x)
Jim gets gets 2 parts (or 2x)
Given,
Stephen gets 30 more than Jim, we can write:
Stephen = Jim + 30
or
4x = 2x + 30
We can solve for "x":

There are 7 parts of sweets altogether (or 7x), we know x so:
There are:
7 * 15 = <u>105 sweets</u> altogether
Answer:
6
Step-by-step explanation: