Question

find the value of y if 2^y×2^8=2^15​

Answer 1

Answer:

Y = 7

Step-by-step explanation:

2^y x 2^8 = 2^15

2 ( y + 8 = 15 )

So y = 7

Answer 2

Answer:

$2 ^{y} \times 2 ^{8} = 2 ^{15 } \\ therefore \\ 2 ^{8 } = 256 \\ 2 ^{15} = 32768 \\ 2 ^{y} = 32768 \div 256 \\ 2 ^{y} = 128 \\ 2 ^{y} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ 2 ^{y} = 2 ^{7} \\ therefore \\ y = 7$