Applying properties of exponents in exercise, use the properties of exponents to simplify the expression. see example 1.
(a) (43)(42)
(b) (1/4)^2(4^2)
(c) (46)1/2
(d) [(8-1)(82/3)]3

 a) 1024, b) 1, c) 64 and d) 0.125.

Step-by-step explanation:

Since we have given that

(a)

As we know that

So, it becomes,

(b)

As we know that

c)

As we know that

(d)

As we know that

Hence, a) 1024, b) 1, c) 64 and d) 0.125.

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step-by-step explanation:

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distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.