Question

(5-²× 2-²) ×10² with solution​

Answer 1

SOLUTION

TO SOLVE

$\sf{( {5}^{ - 2} \times {2}^{ - 2}) \times {10}^{2} }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\sf{1. \: \: ( {a}^{ m} \times {a}^{n}) = {a}^{m + n} }$

$\sf{2. \: \: ( {a}^{ m} \times {b}^{ m}) \ = {(ab)}^{m} }$

EVALUATION

$\sf{( {5}^{ - 2} \times {2}^{ - 2}) \times {10}^{2} }$

$\sf{ = {(5 \times 2)}^{ - 2}\times {10}^{2} }$

$\sf{ = {10}^{ - 2}\times {10}^{2} }$

$\sf{ = {10}^{ - 2 + 2}}$

$\sf{ = {10}^{ 0}}$

$\sf{ = 1}$

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