Question

Select all of the equations that show properties of exponents applied correctly

510
55
-52
5
4
8
3
= 424
1
10-4 =
410
156 153 = 1518
(68)º=1
Shut

Answer 1

Options (a), (b), (e)

Explanation:

a).
`(5^(10))/(5^(8))=5^(10-8)`

= 5²

True.

b). (4⁸)³ =
`4^(8)* 4^8* 4^8`

=
`4^(24)` [Since,
`x^(a)* x^(b)* x^c=x^(a+b+c)`]

True.

c).
`10^(-4)=(1)/(10^4)`

And
`(1)/(4^(10))\\eq (1)/(10^4)`

False.

d).
`15^(6)* 15^(3)=15^(6+3)` [Since,
`x^(a)* x^(b)=x^(a+b)`]

= 15⁹

And
`15^(9)\\eq 15^(18)`

False.

e).
`(6^(8))^(0)=1` [Since, a⁰ = 1]

True.