Question

What is the value of c in the equation below? 2^-4•2^2=a^b=c О-4 О -2 O1/64 O1/4

Answer 1

Answer:

$\frac{1}{4} \: is \: the \: correct \: answer$

Step-by-step explanation:

${2}^{ - 4} \times {2}^{2} = {a}^{b} = c$

According to the laws of exponents:

${a}^{m} {a }^{n} = {a}^{m + n}$

${2}^{ - 4 + 2} = {a}^{b} = c$

${2}^{ - 2} = {a}^{b} = c$

According to the laws of exponents:

${b}^{ - n} = \frac{1}{ {b}^{n} }$

$\frac{1}{ {2}^{2} } = {a}^{b} = c$

$\frac{1}{4} = {a}^{b} = c$

Hope it is helpful....