Question

simplify
$(3 \frac{1}{5})^{4}$
$13 \frac{1}{5}.17\frac{1}{5}$


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Answer 1

Answer:

$\huge\star \underline{ \boxed{ \purple{Answer}}}\star$

i.) Simplified form of

➝$\sf{(3\frac{1}{5})^4}$

is = $\sf{\frac{65,536}{625}}$

or 104.85.

ii.) simplified form of

➝$13 \frac{1}{5}.17\frac{1}{5}$

is = $\sf{\frac{5,676}{25}}$

or 227.04.

Step-by-step explanation:

As we know that it is a mixed fraction

so first convert it in a simple fraction.

Converting $(3 \frac{1}{5})$ into simple form.

it gives

➝${\frac{16}{5}}$

ON SOLVING :-

➝${(\frac{16}{5})^4}$

WE GET,

➝${\frac{16}{5}\:\times\:\frac{16}{5}\:\times\:\frac{16}{5}\:\times\:\frac{16}{5}}$

➝${\frac{256}{25}\:\times\:\frac{256}{25}}$

➝${\frac{65,536}{625}}$

OR

in decimal place :-

➝ 104.85

SIMILARLY,

CONVERT $13 \frac{1}{5}.17\frac{1}{5}$ INTO SIMPLE FORM :-

ON SOLVING :-

WE GET,

➝${\frac{66}{5}\:\times\:\frac{86}{5}}$

➝${\frac{5,676}{25}}$

OR

in decimal form

➝ 227.04

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