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First, this statement stands as long as voltage is constant. If you held the current constant then power would increase as resistance increases.

V=IR. For a fixed voltage if you increase the resistance (R) then the current (I) will decrease - following the formula.

Power = VI so as the resistance increases the value of VI (power) decreases as V is constant and I gets smaller.

Therefore the power is decreasing as the resistance increases (when voltage is held constant).

Hope this helps.

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