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Slav-nsk [51]
3 years ago
8

Find the value of 'a' if 2^2a×2^2a=128

Mathematics
1 answer:
masya89 [10]3 years ago
4 0
128=2⁷
2^2a x 2^2a=2⁷
2^(2a+2a)=2⁷
2^4a=2⁷

Therefore:
4a=7
a=7/4
a=1.75

Answer: a=1.75

To check
2²⁽⁷/⁴⁾ * 2²⁽⁷/⁴⁾ =2⁷/² * 2⁷/²=2¹⁴/²=2⁷=128
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