Question

Use powers to rewrite these problems:

a. xxxx

b. 6*6*6*6*sss*tt

c. xx*xxx

d. t*t*t*t

Answer 1

a.
`x^(4)`

b.
`1296s^(3) t^(2)`

c.
`x^(6)`

d.
`t^(4)`

Explanation:

a.

Apply exponent rule: xxxx=
`x^(4)`

Answer:
`x^(4)`

b.

Step 1: Multiple the numbers: 6⋅6⋅6⋅6 = 36⋅6⋅6⋅s⋅s⋅s⋅t⋅t

Step 2: Multiple the numbers: 6⋅6⋅36 = 216⋅6⋅s⋅s⋅s⋅t⋅t

Step 3: Multiple the numbers: 216⋅6 = 1296⋅s⋅s⋅s⋅t⋅t

Step 4: Combine like terms: s⋅s⋅s =
`s^(3)` = 1296
`s^(3)`⋅t⋅t

Step 5: Combine like terms: t⋅t= 
`t^(2)` = 1296
`s^(3)`
`t^(2)`

Answer: 1296
`s^(3)`
`t^(2)`

c.

Apply exponent rule: xxxxx=
`x^(5)`

Answer:
`x^(5)`

d.

Apply exponent rule: tttt=
`t^(4)`

Answer:
`t^(4)`

Answer 2

Explanation:

a. x^4

b. 6^4s^3t^2 = 1296s^3t^2

c. x^ 2* x^3 = x^5

d. t^4.