Question

$( \frac{a}{b} ) ^\frac{5}{7} \times (\frac{b}{a}) ^\frac{ - 5}{7} = {?}$
state wheather the following statement are true or false;-

${3}^{4} \times {3}^{3} = {3}^{4} \div 3$

${3}^{4} \times {4}^{4} = ({12})^{4}$

${a}^{5} \div {a}^{4} \times {a}^{3} = {a}^{4}$

${a}^{ - 3} + {a}^{ - 3} = {a}^{0}$

$( {a}^{3} \times a) ^{ - 3} = {a}^{ - 9}$
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Answer 1

$( \frac{a}{b} ) ^\frac{5}{7} \times (\frac{b}{a}) ^\frac{ - 5}{7} = {?}$

➝ $( \frac{a}{b} ) ^\frac{5}{7} \times (\frac{a}{b}) ^\frac{ 5}{7}$

➝ $(\dfrac{a}{b} ) ^{ \frac{10}{7} }$

State whether the following statement are true or false :-

• ${3}^{4} \times {3}^{3} = {3}^{4} \div 3$

➝ ( 3 × 3 × 3 × 3 ) × ( 3 × 3 × 3 ) = $\dfrac{3 \times 3 \times 3 \times 3}{3}$

➝ 81 × 27 ≠ 27

➝ False

• ${3}^{4} \times {4}^{4} = ({12})^{4}$

➝ ( 3 × 3 × 3 × 3 ) × ( 4 × 4 × 4 × 4 ) = ( 12 × 12 × 12 × 12 )

➝ 81 × 256 = 144 × 144

➝ 20736 = 20736

➝ True

• ${a}^{5} \div {a}^{4} \times {a}^{3} = {a}^{4}$

➝ $\dfrac{a \times a \times a \times a \times a}{a \times a \times a \times a}$ × ${a}^{3} = {a}^{4}$

➝ a × ${a}^{3} = {a}^{4}$

➝ ${a}^{4} = {a}^{4}$

➝ True

• ${a}^{ - 3} + {a}^{ - 3} = {a}^{0}$

➝ $\dfrac{1}{a} \times \dfrac{1}{a} \times \dfrac{1}{a} \times \dfrac{1}{a}$ $= {a}^{0}$

➝ $( \dfrac{1}{a} )^{6}$ ≠ ${a}^{0}$

➝ False

• $( {a}^{3} \times a) ^{ - 3} = {a}^{ - 9}$

➝ $( {a}^{4} ) ^{ - 3}$ ≠ ${a}^{ - 9}$

➝ False

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Answer 2

hi

kaisi h?¿?¿?

yaad bhi hu m ya bhul gyi