Question

Simplify : (3⁻⁷ ÷ 3⁻¹⁰ ) × 3⁻⁵​

Answer 1

Answer:

$( {3}^{ - 7} \div {3}^{ - 10} ) \times {3}^{ - 5} \\ = {(3}^{ - 7 - ( - 10)} ) \times {3}^{ - 5} \\ = {3}^{3} \times {3}^{ - 5} \\ = {3}^{3 + ( - 5)} \\ = {3}^{ - 2}$

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Answer 2

Value is ${3}^{ - 2}$

Given : (3⁻⁷ ÷ 3⁻¹⁰ ) × 3⁻⁵

To Find :- value

Solution :-

$( {3}^{ - 7} \div {3}^{ - 10} ) \times {3}^{ - 5}$

As we know that when base numbers are same while dividing we subtract their powers.

$= ( {3}^{ - 7 - ( - 10)} ) \times {3}^{ - 5}$

$= {3}^{ - 7 + 10} \times {3}^{ - 5}$

$= {3}^{3} \times {3}^{ - 5}$

As we know that when base numbers are same while multiplying we add their powers.

$= {3}^{3 + ( - 5)}$

$= {3}^{3 - 5}$

$= {3}^{ - 2}$

Hence, value is ${3}^{ - 2}$

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