Question

(81/625)⁴is equal to: a.3/5 b. 9/25 c. 25/9d. 5/3
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Answer 1

Answer:

c ) 25 / 9

Step-by-step explanation:

81 / 625 = 9×9 / 25×25

= 81 / 625

= 9 / 25

= 25 / 9

Answer 2

Ques. $(\frac{81}{625})^{\frac{1}{4} }$is equal to:

a. 3/5

b. 9/25

c. 25/9

d. 5/3

Answer:

The correct answer is option $a.\frac{3}{5}$.

Step-by-step explanation:

Concept:

An exponential function is a relationship of the type $y = a^{x}$, where $x$ is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number, in mathematics. Exponent is a symbol used to denote the operation of raising to a power and is printed above and to the right of any mathematical phrase.

Given:

$(\frac{81}{625})^{\frac{1}{4} }$

To find:

We have to evaluate the value of $(\frac{81}{625})^{\frac{1}{4} }$.

Solution:

It is given that,

$(\frac{81}{625})^{\frac{1}{4} }$

$=(\frac{3^{4} }{5^{4} })^{\frac{1}{4} }\\=((\frac{3}{5})^{4})^{\frac{1}{4} }\\\\=\frac{3}{5}$

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