Question

evaluate
{(1/3)^-2+(1/4)^-2}*5^-2​

Answer 1

Step-by-step explanation:

$(( { \frac{1}{3}) }^{ - 2} + ( { \frac{1}{4} })^{ - 2} ) \times {5}^{ - 2}$

As we know if there is a negative power we reciprocal the base.

$( {3}^{2} + {4}^{2} ) \times ({ \frac{1}{5} })^{2}$

$(9 + 16) \times \frac{1}{25}$

$25 \times \frac{1}{25} = 1$

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