Question

Find the value of m if 16 x 8²=2ᵐ​

Answer 1

Answer:

512 is the answer

Step-by-step explanation:

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Answer 2

Answer:

• Value of m is 10.

Step-by-step explanation:

Given :

$\bold{16\times8^{2}=2^{m}}$

To find :

$\bold{Value\;of\;m\;?}$

Solution :

$\bold{16\times8^{2}=2^{m}}$

$\bold{2^{4}\times(2^{3})^{2}=2^{m}}$

$\bold{2^{4}\times2^{6}=2^{m}}$

$\bold{2^{10}=2^{m}}$

∴ $\bold{m=10}$

Verification :

$\bold{16\times8^{2}=2^{m}}$

$\bold{16\times64=2^{10}}$

$\bold{1024=1024}$

∴ $\bold{L.H.S=R.H.S}$