Question

If 2 power p + q= 8 and 3 power 2 P minus q = 1 find the value of P and Q​

Answer 1

$\bf\large\underline\red{Question Correction:-}$

➤ If P equal to 2 to the power 2 into 3 to the power minus 4 find the value of P by Q the power minus 2.

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$\bf\large\underline\green{Solution :-}$

➤ P=(2^2)×3^(-4). Given

To find:(P/Q)^(-2)=?

P=4×(1÷3^4)=4×(1/81)=4/81

Now this can be written in (P/Q) form as,

P/Q=4/81

Then,(P/Q)=(2/9)^2

Now (P/Q)^(-2)=Q^2/P^2=81×81/4×4=6561/16

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Answer 2

➤ P=(2^2)×3^(-4). Given

To find:(P/Q)^(-2)=?

P=4×(1÷3^4)=4×(1/81)=4/81

Now this can be written in (P/Q) form as,

P/Q=4/81

Then,(P/Q)=(2/9)^2

Now (P/Q)^(-2)=Q^2/P^2=81×81/4×4=6561/16