Question

(-2)^4 × (-2)^-5 + (4)^-1​

Answer 1

Answer:

(-2) ^-1

Step-by-step explanation:

((-2)^4)/((-2)^5) + (2^(-2))

(-1/2) + (1/4)

-1/2

(-2) ^-1

Answer 2

Answer:

$\frac{3}{4}$

Step-by-step explanation:

${( - 2)}^{4} \times {( - 2)}^{ - 5} + {(4)}^{ - 1}$

$since \: \: {a}^{m} + {a}^{n} = {a}^{m + n} and \: {a}^{ - n} = \frac{1}{ {a}^{n} }$

${( - 2)}^{4 + ( - 5)} + {(4)}^{ - 1}$

${( - 2)}^{ - 1} + {(4)}^{ - 1}$

$\frac{1}{ {(2)}^{1} } + \frac{1}{ {(4)}^{1} }$

$\frac{1}{2} + \frac{1}{4}$

$( \: lcm \: of \: 2 \: and \: 4 \: is \: 4)$

$\: on \: solving \: we \: get \: = \frac{3}{4}$

$therefore \: this \: is \: the \: answer$