Question

Find the value of m in 64×4 to the power 2m =4 to the power of 7

Answer 1

it's 64 to the power 4

Answer 2

${64 \times 4}^{ 2m} = {4}^{7}$
${4}^{3} \times {4}^{2m} = {4}^{7}$
${4}^{3 + 2m} = {4}^{7}$
Since the bases are same.... The exponents must be equal.
3+2m=7
2m=7 - 3
2m=4
M=2