Question

please answer my question please put the answer with explanation photo please​

Answer 1

Hi there!

Your Answer :-

☞ If the bases are same, then we can cancel out them.

So,

The equation formed ☞

3+(-6) = 2P-1

3-6 = 2P-1

-3+1 = 2P

2P = -2

P = -1.

⏩ Hence, the value of P is -1.

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Answer 2

Question -

Find the value of P if -

$\sf{ { \dfrac{2}{5} }^3 \times { \dfrac{2}{5} } ^ { -6 } = { \dfrac{2}{5} }^ { 2P-1} }$

Solution -

Here , we have the following equation and we have to find the value of P .

$\sf{ { \dfrac{2}{5} }^3 \times { \dfrac{2}{5} } ^ { -6 } = { \dfrac{2}{5} }^ { 2P-1} } \\ \\ \sf{ \implies { {\dfrac{2}{5} }^ { 3 - 6 } = { \dfrac{2}{5} }^ { 2P - 1 } }}$

$\sf{ \implies { {\dfrac{2}{5} }^ { -3 } = {\dfrac{2}{5} }^ { 2P - 1 } }} \\ \\ \sf{ \implies { 2P - 1 = -3 }}$

$\sf{ \implies { 2P = -2 }} \\ \\ \sf{ \implies { P = -1 }}$

This is the required Answer .

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