Question

What is value of 7⁵÷7³ *​

Answer 1

Answer:

$7 {}^{5} \div 7 {}^{3} \\ \\ {7}^{5 - 3} = 7 {}^{2} \\ \\ 7 \times 7 = 49 \\ \\ i \: hope \: help \: u$

Answer 2

SOLUTION

TO DETERMINE

The value of 7⁵ ÷ 7³

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\displaystyle \sf{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

EVALUATION

Here the given expression is

7⁵ ÷ 7³

$\displaystyle \sf{ = \frac{ {7}^{5} }{ {7}^{3} } }$

Now we apply the formula

$\boxed{ \: \: \displaystyle \sf{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} } \: \: }$

7⁵ ÷ 7³

$\displaystyle \sf{ = \frac{ {7}^{5} }{ {7}^{3} } }$

$\displaystyle \sf{ = {7}^{5 - 3} }$

$\displaystyle \sf{ = {7}^{2} }$

$\displaystyle \sf{ = 7 \times 7}$

= 49

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