Step-by-step explanation:
(4h⁴)⁴ / (4h^-8)
remember, multiplying exponents means adding them. exponents of exponents means multiplying them.
and dividing exponents means subtracting them.
also, n^-a = 1/(n^a).
let's look at the numerator (top part) first :
(4h⁴)⁴ = 4^1×4 × h^4×4 = 4⁴×h¹⁶
now, for the denominator, the exponent -8 applies only to h. not to 4.
so,
1/(4h^-8) = h⁸/4
and so, the whole expression is then simplified
4⁴×h¹⁶ × h⁸/4 = 4³ × h²⁴
