Question

find the value of each of the following 2^1/4×2^1/5​

Answer 1

Step-by-step explanation:

(1) 16(1/4)

16(1/4) can be written as

16(1/4) = (44)(1/4)

The laws of exponents are tabulated below.

am.an=am+n

(am)n = amn

(ab)n = an bn

(a/b)n = an/bn

am/an = am-n

am/an = 1/an-m

So (44)1/4 can be written as

= 2(4 × 1/4)

= 21

(16)1/4 = 2

(2) 625(-3/4)

Since the exponent given is negative, it must be converted into a fraction.