Find the value of p- such that -2p - 3- -25 - -211

The correct option is C 3 ( 2)^p + 3× ( 2)^5 = ( 2)^11 We know that, a^m× a^n = a^m + n Using the above law, (p + 3) + 5 = 11 ∴ p + 8 = ...

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Standard IX

Mathematics

Zeroes of a Polynomial

Find the valu...

Question

Find the value of $p$ , such that $(- 2)^{p + 3} \times (- 2)^{5} = (- 2)^{11}$

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Solution

The correct option is C $3$
$(- 2)^{p + 3} \times (- 2)^{5} = (- 2)^{11}$
We know that, $a^{m} \times a^{n} = a^{m + n}$
Using the above law,
$(p + 3) + 5 = 11$
$∴ p + 8 = 11$
$∴ p = 3$

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Find the value of p, such that (−2)p+3×(−2)5=(−2)11

The correct option is C 3(−2)p+3×(−2)5=(−2)11We know that, am×an=am+nUsing the above law,(p+3)+5=11∴p+8=11∴p=3

Find the value of $p$ , such that $(- 2)^{p + 3} \times (- 2)^{5} = (- 2)^{11}$

The correct option is C $3$
$(- 2)^{p + 3} \times (- 2)^{5} = (- 2)^{11}$
We know that, $a^{m} \times a^{n} = a^{m + n}$
Using the above law,
$(p + 3) + 5 = 11$
$∴ p + 8 = 11$
$∴ p = 3$