Question

Chose the equivelent expresion 5⁶ a.(5⁴)² b.(5⁻²)⁻³ c.(5¹)⁵

Answer 1

`\Large \boxed{(5^(-2))^(-3)}`

Explanation:

Applying the law of exponents :
`(a^b)^c=a^(bc)`

`(5^4)^2 = 5^(4 * 2) = 5^(8)`

`(5^(-2))^(-3)=5^(-2 * -3)=5^6`

`(5^1)^5 =5^(1 * 5)=5^5`

Answer 2

`\huge\boxed{Option \ B}`

Explanation:

`5^6` is equivalent to

=>
`(5^4)^2 = 5^(4*2) = 5^ 8`

=>
`(5^(-2))^(-3) = 5^(-2*-3) = 5^6` ← Correct

=>
`(5^1)^5 = 5^(1*5) = 5^5`