Prettylilisha Prettylilisha
  • 12-01-2022
  • Mathematics
contestada

Which expression is equivalent to 2^6 x (2^2)^3?
O A 212
B. 215
O c. 236
OD 254

Which expression is equivalent to 26 x 223 O A 212 B 215 O c 236 OD 254 class=

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msm555
msm555 msm555
  • 12-01-2022

A. [tex]\bold{\boxed{\green{2^{12}}}}[/tex]

Answer:

Solution given:

[tex]2^6 x (2^2)^3[/tex]

we know that

product of power and power is added and power to power is multiplied for same base only.

I.E.

product of same base but different power:[tex]a^b+a^c=a^(b+c)[/tex]

power to power :[tex] (a^b)^c=a^(b*c)[/tex]

By using above property

[tex]2^6+2^{2*3}[/tex]

[tex] 2^6+2^6[/tex]

[tex]2^{[6+6]}=2^{12}[/tex]

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