Question

Calculeaza 4la puterea2×1supra2la puterea9×1supra8la puterea7×16 la puterea5

Answer 1

4^2 × 1/2^9 × 1/8^7 × 16^5 =

=(2^2)^2 × 1/2^9 × 1/(2^3)^7 × (2^4)^5 =

=2^4 × 1/2^9 × 1/2^21 × 2^20 =

= (2^4 × 2^20) × 1/(2^9 × 2^21) =

= 2^24 × 1/2^30 =

= 2^24/2^30 =

= 1/2^6 =

= 1/64

Answer 2

Răspuns:

ql

${4}^{2} \times \frac{1}{ {2}^{9} } \times \frac{1}{ {8}^{7} } \times {16}^{5}$

${( {2}^{2} )}^{2} \times \frac{1}{ {2}^{9} } \times \frac{1}{ ({ {2}^{3} })^{7} } \times {( {2}^{4} })^{5} =$

${2}^{4} \times \frac{1}{ {2}^{9} } \times \frac{1}{ {2}^{21} } \times {2}^{20} =$

$\frac{1}{ {2}^{5} } \times \frac{1}{2} =$

$\frac{1}{ {2}^{6} }$

$= \frac{1}{64}$