Anonymous
Anonymous asked in Science & MathematicsMathematics · 4 weeks ago

how to write 4 x 16^2 as a single power of 2?

12 Answers

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• 4 weeks ago

4 × 16^2 = 1024 = 2^10

from 2^2 x (2^4)^2

= 2^2 x 2^8

= 2^(2+8)

= 2^10

• sepia
Lv 7
4 weeks ago

4 × 16^2

= 2^2 × 2^8

= 2^10

• 4 weeks ago

4 × 16^2

= 2^2 × 2^8

= 2^10

• 4 weeks ago

4 * 16^2 =

2^2 * 4^2 =

2^(2 + 4) =

2^6

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• 4 weeks ago

1024 = 2^10.

Many ways to arrive at this...

• Como
Lv 7
4 weeks ago

:-

2^2 x 4^4 = 2^2 x 2^8 = 2^10

• ?
Lv 7
4 weeks ago

4 x 16² =

2² x (2⁴)² =

2² x 2⁸ =

2²⁺⁸ =

2¹⁰...........ANS

• Lôn
Lv 7
4 weeks ago

2 x 2 x (2 x 2 x 2 x 2 ) x ( 2 x 2 x 2 x 2)

= 2^10

• 4 weeks ago

Write each base as a power of 2 first --> 4 = 2^2 and 16 = 2^4:

2^2 * (2^4)^2

Next use this rule of exponents --> (a^b)^c = a^(bc)

= 2^2 * 2^(4*2)

= 2^2 * 2^8

Then use this rule of exponents --> a^b * a^c = a^(b+c)

= 2^(2+8)

= 2^10

• hfshaw
Lv 7
4 weeks ago

4 * 16^2 = (2^2) * (2^4)^2 = (2^2) * (2^8) = 2^10

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