Question

{(1/2*4}*m=(1/2)*-4×(1/2)*8
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Answer 1

Answer:

$\huge\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Answer}}}}}}}} \\ \large\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Your~answer↓}}}}}}}}$

Given :-

${( \frac{1}{2}) }^{4m} = {( \frac{1}{2}) }^{ - 4} \times {( \frac{1}{2} )}^{8}$

To find :-

Value of m

Formula used :-

$\large\bold\red{◇ \: {x}^{m} \div {x}^{n} = {x}^{m - n} }$

$\large\bold\red{◇ \: {x}^{m} \times {x}^{n} = {x}^{m + n} }$

$\large\bold\red{ {x}^{m} = {x}^{n} ⟹m = n }$

$\huge\bold\red{SOLUTION}$

${( \frac{1}{2}) }^{4m} = {( \frac{1}{2}) }^{ - 4} \times {( \frac{1}{2} )}^{8}$

${( \frac{1}{2}) }^{4m} = {( \frac{1}{2}) }^{ - 4 + 8}$

${( \frac{1}{2}) }^{4m} = {( \frac{1}{2}) }^{ 4}$

$⟹ \: 4m = 4$

$\large\bold\red{⟹ \: m \: = 1}$

$\huge \fcolorbox{black}{cyan}{Hope it helps U}$

Answer 2

Step-by-step explanation:

THIS IS THE ANSWER.....