Question

Which expression are equivalent to 1/5 × 1/5×1/5×1/5​

Answer 1

Answer:

A and D

Step-by-step explanation:

1/5 is the same as 5^(-1),

so (1/5)^4=5^(-4)

as we know,

when you multiply the bases, you add the exponents

when you divide the bases, you subtract the exponents

when you simplify a term with and exponent with another exponent, you multiply them

so,

a)

(5^(-2))^2=5^(-2*2)=5^(-4)

b)

(5^(-4))^0=5^(-4*0)=5^0

c)

5^(1)/5^(4)=5^(1-4)=5^(-3)

d)

5^(2)*5^(-6)=5^(2-6)=5^(-4)

The two answers are A and D