Question

please solve all 5 with correct explanation I have answers but not fully explained solutions ​

Answer 1

Answer:

1.

${(625)}^{ \frac{ - 1}{4} } = ({(5)}^{4})^{ \frac{ - 1}{4} } \: \: \: \: (5 \: to \: the \: power \: 4 \: is \: 625 ) \\ = {5}^{4 \times \frac{ (- 1)}{4} } = {5}^{ - 1} = \frac{1}{5^{1} } = \frac{1}{5} = 0.2$

2.

${a}^{m} + {a}^{n} = {a}^{m + n} \\ \\ this \: is \: known \: as \: product \: law \: of \: exponent \:$

We can apply it only when the base is same

3.

$\frac{x^{m} }{x^{n} } = {x}^{m - n \: } \\ \\ this \: is \: quotient \: law \: of \: exponent \:$

We can apply it only when numeator and denominator are same

4.

$( {(a)}^{m})^{n} = {a}^{mn} \\ \\ this \: is \: known \: as \: power \: law \: of \: exponent \:$

and answer to fifth question is given in above attachment. we answer 5th question using law of exponent.

HOPE IT HELPS YOU :)

IF YES THEN PLEASE PLEASE MARK AS BRANIEST AND FOLLOW TOO :)