Question

evaluate: 16^1/2 x 2^-3

Answer 1

Answer:

64

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

------------------

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

8

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Answer 2

Answer:

0.5

Step-by-step explanation:

${16}^{ \frac{1}{2} } \times 2 {}^{ - 3}$

$\sqrt{16} \times \frac{1}{{2}^{3} }$

$4 \times \frac{1}{2 \times 2 \times 2}$

$\frac{1}{ 2}$