Using laws of exponents, simplify and write the answer in exponential form:

(5²)³ ÷ 5³

Dear Student

By the rule of taking power of as power = (a^m)ⁿ = a^mn
(5²)³can be written as = (5)^{2 x 3}
= 5⁶
Now, 5⁶÷5³
By the rule of dividing the powers with same base = a^m ÷ aⁿ = am – n
Then,
= (5)^{6 – 3}
= 5³

Thanks