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

Răspuns :

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

Răspuns:

ql

[tex] {4}^{2} \times \frac{1}{ {2}^{9} } \times \frac{1}{ {8}^{7} } \times {16}^{5} [/tex]

[tex] {( {2}^{2} )}^{2} \times \frac{1}{ {2}^{9} } \times \frac{1}{ ({ {2}^{3} })^{7} } \times {( {2}^{4} })^{5} = [/tex]

[tex] {2}^{4} \times \frac{1}{ {2}^{9} } \times \frac{1}{ {2}^{21} } \times {2}^{20} = [/tex]

[tex] \frac{1}{ {2}^{5} } \times \frac{1}{2} = [/tex]

[tex] \frac{1}{ {2}^{6} } [/tex]

[tex] = \frac{1}{64} [/tex]