Question

EVALUATE
1) (49)1/2
2) (625÷256)1/4
(Exponents) ​

Answer 1

Answer:

1)(49)1/2

49=(7^2)1/2

(7)2*1/2

=>2

2)(625/256)^1/4

(5^4/4^4)^1/4

[(5/4)^4]^1/4

(5/4)^4x1/4

=>5/4

Answer 2

Answer:

$1) \ 7\\ \\2) \ \frac{5}{4}$

Step-by-step explanation:

Question :

$\text { 1) 49^{\frac {1}{2}} }\\\text { 2) (625/256)^{ \frac {1}{4}} }$

Solution :

$1) 49^{\frac{1}{2} } = \sqrt{49}\\\implies \sqrt{49} = 7\\\\\\2) (\frac {625}{256}) ^ {\frac {1}{4}} = (\frac{ 5^4}{4^4})^{\frac {1}{4}}\\\\\implies \frac {5}{4} ^{\frac {4}{4}} \\\\\implies \frac {5}{4} ^1 \\\\\implies \frac {5}{4}$

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